Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 57/37 : 123,457,654,320 ÷ 37 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 37 = 3,336,693,360
- 19/13 : 123,457,654,320 ÷ 13 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 13 = 9,496,742,640
- 27/16 : 123,457,654,320 ÷ 16 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 24 = 7,716,103,395
- 58/39 : 123,457,654,320 ÷ 39 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ (3 × 13) = 3,165,580,880
- 55/43 : 123,457,654,320 ÷ 43 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 43 = 2,871,108,240
- 57/34 : 123,457,654,320 ÷ 34 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ (2 × 17) = 3,631,107,480
- 29/16 : 123,457,654,320 ÷ 16 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 24 = 7,716,103,395
- 30/19 : 123,457,654,320 ÷ 19 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 19 = 6,497,771,280
- 62/35 : 123,457,654,320 ÷ 35 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ (5 × 7) = 3,527,361,552
- 15/7 : 123,457,654,320 ÷ 7 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 7 = 17,636,807,760
- 61/30 : 123,457,654,320 ÷ 30 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ (2 × 3 × 5) = 4,115,255,144
- 3 : 123,457,654,320 ÷ 1 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 1 = 123,457,654,320
- 26/11 : 123,457,654,320 ÷ 11 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 11 = 11,223,423,120
- 34/13 : 123,457,654,320 ÷ 13 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 13 = 9,496,742,640
- 1 : 123,457,654,320 ÷ 1 = (24 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 37 × 43) ÷ 1 = 123,457,654,320
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:
- 57/37 = - (3,336,693,360 × 57)/(3,336,693,360 × 37) = - 190,191,521,520/123,457,654,320
- 19/13 = - (9,496,742,640 × 19)/(9,496,742,640 × 13) = - 180,438,110,160/123,457,654,320
- 27/16 = - (7,716,103,395 × 27)/(7,716,103,395 × 16) = - 208,334,791,665/123,457,654,320
- 58/39 = - (3,165,580,880 × 58)/(3,165,580,880 × 39) = - 183,603,691,040/123,457,654,320
- 55/43 = - (2,871,108,240 × 55)/(2,871,108,240 × 43) = - 157,910,953,200/123,457,654,320
- 57/34 = - (3,631,107,480 × 57)/(3,631,107,480 × 34) = - 206,973,126,360/123,457,654,320
- 29/16 = - (7,716,103,395 × 29)/(7,716,103,395 × 16) = - 223,766,998,455/123,457,654,320
- 30/19 = - (6,497,771,280 × 30)/(6,497,771,280 × 19) = - 194,933,138,400/123,457,654,320
- 62/35 = - (3,527,361,552 × 62)/(3,527,361,552 × 35) = - 218,696,416,224/123,457,654,320
- 15/7 = - (17,636,807,760 × 15)/(17,636,807,760 × 7) = - 264,552,116,400/123,457,654,320
- 61/30 = - (4,115,255,144 × 61)/(4,115,255,144 × 30) = - 251,030,563,784/123,457,654,320
- 3/1 = - (123,457,654,320 × 3)/(123,457,654,320 × 1) = - 370,372,962,960/123,457,654,320
- 26/11 = - (11,223,423,120 × 26)/(11,223,423,120 × 11) = - 291,809,001,120/123,457,654,320
- 34/13 = - (9,496,742,640 × 34)/(9,496,742,640 × 13) = - 322,889,249,760/123,457,654,320
- 1/1 = - (123,457,654,320 × 1)/(123,457,654,320 × 1) = - 123,457,654,320/123,457,654,320