Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 995/18 : 2,531,619,090 ÷ 18 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ (2 × 32) = 140,645,505
- 805/17 : 2,531,619,090 ÷ 17 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 17 = 148,918,770
- 494/15 : 2,531,619,090 ÷ 15 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ (3 × 5) = 168,774,606
- 323/11 : 2,531,619,090 ÷ 11 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 11 = 230,147,190
- 327/26 : 2,531,619,090 ÷ 26 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ (2 × 13) = 97,369,965
- 45/7 : 2,531,619,090 ÷ 7 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 7 = 361,659,870
- 54/13 : 2,531,619,090 ÷ 13 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 13 = 194,739,930
- 80/21 : 2,531,619,090 ÷ 21 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ (3 × 7) = 120,553,290
- 48/19 : 2,531,619,090 ÷ 19 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 19 = 133,243,110
- 41/22 : 2,531,619,090 ÷ 22 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ (2 × 11) = 115,073,595
- 44/29 : 2,531,619,090 ÷ 29 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 29 = 87,297,210
- 31/27 : 2,531,619,090 ÷ 27 = (2 × 33 × 5 × 7 × 11 × 13 × 17 × 19 × 29) ÷ 33 = 93,763,670
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:
- 995/18 = - (140,645,505 × 995)/(140,645,505 × 18) = - 139,942,277,475/2,531,619,090
- 805/17 = - (148,918,770 × 805)/(148,918,770 × 17) = - 119,879,609,850/2,531,619,090
- 494/15 = - (168,774,606 × 494)/(168,774,606 × 15) = - 83,374,655,364/2,531,619,090
- 323/11 = - (230,147,190 × 323)/(230,147,190 × 11) = - 74,337,542,370/2,531,619,090
- 327/26 = - (97,369,965 × 327)/(97,369,965 × 26) = - 31,839,978,555/2,531,619,090
- 45/7 = - (361,659,870 × 45)/(361,659,870 × 7) = - 16,274,694,150/2,531,619,090
- 54/13 = - (194,739,930 × 54)/(194,739,930 × 13) = - 10,515,956,220/2,531,619,090
- 80/21 = - (120,553,290 × 80)/(120,553,290 × 21) = - 9,644,263,200/2,531,619,090
- 48/19 = - (133,243,110 × 48)/(133,243,110 × 19) = - 6,395,669,280/2,531,619,090
- 41/22 = - (115,073,595 × 41)/(115,073,595 × 22) = - 4,718,017,395/2,531,619,090
- 44/29 = - (87,297,210 × 44)/(87,297,210 × 29) = - 3,841,077,240/2,531,619,090
- 31/27 = - (93,763,670 × 31)/(93,763,670 × 27) = - 2,906,673,770/2,531,619,090