Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 79/44 : 3,996,129,337,200 ÷ 44 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (22 × 11) = 90,821,121,300
- 127/50 : 3,996,129,337,200 ÷ 50 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (2 × 52) = 79,922,586,744
- 100/37 : 3,996,129,337,200 ÷ 37 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 37 = 108,003,495,600
- 112/43 : 3,996,129,337,200 ÷ 43 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 43 = 92,933,240,400
- 49/16 : 3,996,129,337,200 ÷ 16 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 24 = 249,758,083,575
- 53/17 : 3,996,129,337,200 ÷ 17 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 17 = 235,066,431,600
- 131/41 : 3,996,129,337,200 ÷ 41 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 41 = 97,466,569,200
- 131/42 : 3,996,129,337,200 ÷ 42 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (2 × 3 × 7) = 95,145,936,600
- 139/45 : 3,996,129,337,200 ÷ 45 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (32 × 5) = 88,802,874,160
- 22/7 : 3,996,129,337,200 ÷ 7 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 7 = 570,875,619,600
- 138/35 : 3,996,129,337,200 ÷ 35 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (5 × 7) = 114,175,123,920
- 152/39 : 3,996,129,337,200 ÷ 39 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ (3 × 13) = 102,464,854,800
- 128/3 : 3,996,129,337,200 ÷ 3 = (24 × 32 × 52 × 7 × 11 × 13 × 17 × 37 × 41 × 43) ÷ 3 = 1,332,043,112,400
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:
- 79/44 = - (90,821,121,300 × 79)/(90,821,121,300 × 44) = - 7,174,868,582,700/3,996,129,337,200
- 127/50 = - (79,922,586,744 × 127)/(79,922,586,744 × 50) = - 10,150,168,516,488/3,996,129,337,200
- 100/37 = - (108,003,495,600 × 100)/(108,003,495,600 × 37) = - 10,800,349,560,000/3,996,129,337,200
- 112/43 = - (92,933,240,400 × 112)/(92,933,240,400 × 43) = - 10,408,522,924,800/3,996,129,337,200
- 49/16 = - (249,758,083,575 × 49)/(249,758,083,575 × 16) = - 12,238,146,095,175/3,996,129,337,200
- 53/17 = - (235,066,431,600 × 53)/(235,066,431,600 × 17) = - 12,458,520,874,800/3,996,129,337,200
- 131/41 = - (97,466,569,200 × 131)/(97,466,569,200 × 41) = - 12,768,120,565,200/3,996,129,337,200
- 131/42 = - (95,145,936,600 × 131)/(95,145,936,600 × 42) = - 12,464,117,694,600/3,996,129,337,200
- 139/45 = - (88,802,874,160 × 139)/(88,802,874,160 × 45) = - 12,343,599,508,240/3,996,129,337,200
- 22/7 = - (570,875,619,600 × 22)/(570,875,619,600 × 7) = - 12,559,263,631,200/3,996,129,337,200
- 138/35 = - (114,175,123,920 × 138)/(114,175,123,920 × 35) = - 15,756,167,100,960/3,996,129,337,200
- 152/39 = - (102,464,854,800 × 152)/(102,464,854,800 × 39) = - 15,574,657,929,600/3,996,129,337,200
- 128/3 = - (1,332,043,112,400 × 128)/(1,332,043,112,400 × 3) = - 170,501,518,387,200/3,996,129,337,200