Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 91/66 : 782,282,156,040 ÷ 66 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ (2 × 3 × 11) = 11,852,759,940
- 79/55 : 782,282,156,040 ÷ 55 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ (5 × 11) = 14,223,311,928
- 94/63 : 782,282,156,040 ÷ 63 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ (32 × 7) = 12,417,177,080
- 88/53 : 782,282,156,040 ÷ 53 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 53 = 14,760,040,680
- 97/61 : 782,282,156,040 ÷ 61 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 61 = 12,824,297,640
- 47/29 : 782,282,156,040 ÷ 29 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 29 = 26,975,246,760
- 107/56 : 782,282,156,040 ÷ 56 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ (23 × 7) = 13,969,324,215
- 91/53 : 782,282,156,040 ÷ 53 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 53 = 14,760,040,680
- 41/21 : 782,282,156,040 ÷ 21 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ (3 × 7) = 37,251,531,240
- 103/49 : 782,282,156,040 ÷ 49 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 72 = 15,964,941,960
- 98/43 : 782,282,156,040 ÷ 43 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 43 = 18,192,608,280
- 145/49 : 782,282,156,040 ÷ 49 = (23 × 32 × 5 × 72 × 11 × 29 × 43 × 53 × 61) ÷ 72 = 15,964,941,960
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:
- 91/66 = - (11,852,759,940 × 91)/(11,852,759,940 × 66) = - 1,078,601,154,540/782,282,156,040
- 79/55 = - (14,223,311,928 × 79)/(14,223,311,928 × 55) = - 1,123,641,642,312/782,282,156,040
- 94/63 = - (12,417,177,080 × 94)/(12,417,177,080 × 63) = - 1,167,214,645,520/782,282,156,040
- 88/53 = - (14,760,040,680 × 88)/(14,760,040,680 × 53) = - 1,298,883,579,840/782,282,156,040
- 97/61 = - (12,824,297,640 × 97)/(12,824,297,640 × 61) = - 1,243,956,871,080/782,282,156,040
- 47/29 = - (26,975,246,760 × 47)/(26,975,246,760 × 29) = - 1,267,836,597,720/782,282,156,040
- 107/56 = - (13,969,324,215 × 107)/(13,969,324,215 × 56) = - 1,494,717,691,005/782,282,156,040
- 91/53 = - (14,760,040,680 × 91)/(14,760,040,680 × 53) = - 1,343,163,701,880/782,282,156,040
- 41/21 = - (37,251,531,240 × 41)/(37,251,531,240 × 21) = - 1,527,312,780,840/782,282,156,040
- 103/49 = - (15,964,941,960 × 103)/(15,964,941,960 × 49) = - 1,644,389,021,880/782,282,156,040
- 98/43 = - (18,192,608,280 × 98)/(18,192,608,280 × 43) = - 1,782,875,611,440/782,282,156,040
- 145/49 = - (15,964,941,960 × 145)/(15,964,941,960 × 49) = - 2,314,916,584,200/782,282,156,040