Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 19/15 : 105,736,511,849,760 ÷ 15 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (3 × 5) = 7,049,100,789,984
- 41/32 : 105,736,511,849,760 ÷ 32 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 25 = 3,304,265,995,305
- 38/31 : 105,736,511,849,760 ÷ 31 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 31 = 3,410,855,220,960
- 71/57 : 105,736,511,849,760 ÷ 57 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (3 × 19) = 1,855,026,523,680
- 85/62 : 105,736,511,849,760 ÷ 62 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (2 × 31) = 1,705,427,610,480
- 88/67 : 105,736,511,849,760 ÷ 67 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 67 = 1,578,156,893,280
- 82/59 : 105,736,511,849,760 ÷ 59 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 59 = 1,792,144,268,640
- 49/36 : 105,736,511,849,760 ÷ 36 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (22 × 32) = 2,937,125,329,160
- 97/60 : 105,736,511,849,760 ÷ 60 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (22 × 3 × 5) = 1,762,275,197,496
- 94/61 : 105,736,511,849,760 ÷ 61 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 61 = 1,733,385,440,160
- 83/47 : 105,736,511,849,760 ÷ 47 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 47 = 2,249,713,018,080
- 75/44 : 105,736,511,849,760 ÷ 44 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (22 × 11) = 2,403,102,542,040
- 8/5 : 105,736,511,849,760 ÷ 5 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 5 = 21,147,302,369,952
- 93/44 : 105,736,511,849,760 ÷ 44 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ (22 × 11) = 2,403,102,542,040
- 7 : 105,736,511,849,760 ÷ 1 = (25 × 32 × 5 × 11 × 19 × 31 × 47 × 59 × 61 × 67) ÷ 1 = 105,736,511,849,760
Make the fractions' denominators the same:
Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.
This way all the fractions will have the same denominator:
- 19/15 = - (7,049,100,789,984 × 19)/(7,049,100,789,984 × 15) = - 133,932,915,009,696/105,736,511,849,760
- 41/32 = - (3,304,265,995,305 × 41)/(3,304,265,995,305 × 32) = - 135,474,905,807,505/105,736,511,849,760
- 38/31 = - (3,410,855,220,960 × 38)/(3,410,855,220,960 × 31) = - 129,612,498,396,480/105,736,511,849,760
- 71/57 = - (1,855,026,523,680 × 71)/(1,855,026,523,680 × 57) = - 131,706,883,181,280/105,736,511,849,760
- 85/62 = - (1,705,427,610,480 × 85)/(1,705,427,610,480 × 62) = - 144,961,346,890,800/105,736,511,849,760
- 88/67 = - (1,578,156,893,280 × 88)/(1,578,156,893,280 × 67) = - 138,877,806,608,640/105,736,511,849,760
- 82/59 = - (1,792,144,268,640 × 82)/(1,792,144,268,640 × 59) = - 146,955,830,028,480/105,736,511,849,760
- 49/36 = - (2,937,125,329,160 × 49)/(2,937,125,329,160 × 36) = - 143,919,141,128,840/105,736,511,849,760
- 97/60 = - (1,762,275,197,496 × 97)/(1,762,275,197,496 × 60) = - 170,940,694,157,112/105,736,511,849,760
- 94/61 = - (1,733,385,440,160 × 94)/(1,733,385,440,160 × 61) = - 162,938,231,375,040/105,736,511,849,760
- 83/47 = - (2,249,713,018,080 × 83)/(2,249,713,018,080 × 47) = - 186,726,180,500,640/105,736,511,849,760
- 75/44 = - (2,403,102,542,040 × 75)/(2,403,102,542,040 × 44) = - 180,232,690,653,000/105,736,511,849,760
- 8/5 = - (21,147,302,369,952 × 8)/(21,147,302,369,952 × 5) = - 169,178,418,959,616/105,736,511,849,760
- 93/44 = - (2,403,102,542,040 × 93)/(2,403,102,542,040 × 44) = - 223,488,536,409,720/105,736,511,849,760
- 7/1 = - (105,736,511,849,760 × 7)/(105,736,511,849,760 × 1) = - 740,155,582,948,320/105,736,511,849,760