Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 82/65 : 603,206,536,140 ÷ 65 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (5 × 13) = 9,280,100,556
- 84/61 : 603,206,536,140 ÷ 61 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 61 = 9,888,631,740
- 13/9 : 603,206,536,140 ÷ 9 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 32 = 67,022,948,460
- 92/61 : 603,206,536,140 ÷ 61 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 61 = 9,888,631,740
- 73/47 : 603,206,536,140 ÷ 47 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 47 = 12,834,181,620
- 94/61 : 603,206,536,140 ÷ 61 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 61 = 9,888,631,740
- 85/54 : 603,206,536,140 ÷ 54 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (2 × 33) = 11,170,491,410
- 55/34 : 603,206,536,140 ÷ 34 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (2 × 17) = 17,741,368,710
- 89/60 : 603,206,536,140 ÷ 60 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (22 × 3 × 5) = 10,053,442,269
- 5/3 : 603,206,536,140 ÷ 3 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 3 = 201,068,845,380
- 79/45 : 603,206,536,140 ÷ 45 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (32 × 5) = 13,404,589,692
- 78/43 : 603,206,536,140 ÷ 43 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 43 = 14,028,058,980
- 97/52 : 603,206,536,140 ÷ 52 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ (22 × 13) = 11,600,125,695
- 78/41 : 603,206,536,140 ÷ 41 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 41 = 14,712,354,540
- 2 : 603,206,536,140 ÷ 1 = (22 × 33 × 5 × 13 × 17 × 41 × 43 × 47 × 61) ÷ 1 = 603,206,536,140
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:
- 82/65 = - (9,280,100,556 × 82)/(9,280,100,556 × 65) = - 760,968,245,592/603,206,536,140
- 84/61 = - (9,888,631,740 × 84)/(9,888,631,740 × 61) = - 830,645,066,160/603,206,536,140
- 13/9 = - (67,022,948,460 × 13)/(67,022,948,460 × 9) = - 871,298,329,980/603,206,536,140
- 92/61 = - (9,888,631,740 × 92)/(9,888,631,740 × 61) = - 909,754,120,080/603,206,536,140
- 73/47 = - (12,834,181,620 × 73)/(12,834,181,620 × 47) = - 936,895,258,260/603,206,536,140
- 94/61 = - (9,888,631,740 × 94)/(9,888,631,740 × 61) = - 929,531,383,560/603,206,536,140
- 85/54 = - (11,170,491,410 × 85)/(11,170,491,410 × 54) = - 949,491,769,850/603,206,536,140
- 55/34 = - (17,741,368,710 × 55)/(17,741,368,710 × 34) = - 975,775,279,050/603,206,536,140
- 89/60 = - (10,053,442,269 × 89)/(10,053,442,269 × 60) = - 894,756,361,941/603,206,536,140
- 5/3 = - (201,068,845,380 × 5)/(201,068,845,380 × 3) = - 1,005,344,226,900/603,206,536,140
- 79/45 = - (13,404,589,692 × 79)/(13,404,589,692 × 45) = - 1,058,962,585,668/603,206,536,140
- 78/43 = - (14,028,058,980 × 78)/(14,028,058,980 × 43) = - 1,094,188,600,440/603,206,536,140
- 97/52 = - (11,600,125,695 × 97)/(11,600,125,695 × 52) = - 1,125,212,192,415/603,206,536,140
- 78/41 = - (14,712,354,540 × 78)/(14,712,354,540 × 41) = - 1,147,563,654,120/603,206,536,140
- 2/1 = - (603,206,536,140 × 2)/(603,206,536,140 × 1) = - 1,206,413,072,280/603,206,536,140