Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 1,201/34 : 1,850,402,400 ÷ 34 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ (2 × 17) = 54,423,600
- 36/7 : 1,850,402,400 ÷ 7 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 7 = 264,343,200
- 343/19 : 1,850,402,400 ÷ 19 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 19 = 97,389,600
- 505/28 : 1,850,402,400 ÷ 28 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ (22 × 7) = 66,085,800
- 21 : 1,850,402,400 ÷ 1 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 1 = 1,850,402,400
- 261/32 : 1,850,402,400 ÷ 32 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 25 = 57,825,075
- 72/11 : 1,850,402,400 ÷ 11 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 11 = 168,218,400
- 31/8 : 1,850,402,400 ÷ 8 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 23 = 231,300,300
- 85/32 : 1,850,402,400 ÷ 32 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 25 = 57,825,075
- 68/31 : 1,850,402,400 ÷ 31 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 31 = 59,690,400
- 11/6 : 1,850,402,400 ÷ 6 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ (2 × 3) = 308,400,400
- 61/34 : 1,850,402,400 ÷ 34 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ (2 × 17) = 54,423,600
- 43/25 : 1,850,402,400 ÷ 25 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 52 = 74,016,096
- 43 : 1,850,402,400 ÷ 1 = (25 × 3 × 52 × 7 × 11 × 17 × 19 × 31) ÷ 1 = 1,850,402,400
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:
- 1,201/34 = - (54,423,600 × 1,201)/(54,423,600 × 34) = - 65,362,743,600/1,850,402,400
- 36/7 = - (264,343,200 × 36)/(264,343,200 × 7) = - 9,516,355,200/1,850,402,400
- 343/19 = - (97,389,600 × 343)/(97,389,600 × 19) = - 33,404,632,800/1,850,402,400
- 505/28 = - (66,085,800 × 505)/(66,085,800 × 28) = - 33,373,329,000/1,850,402,400
- 21/1 = - (1,850,402,400 × 21)/(1,850,402,400 × 1) = - 38,858,450,400/1,850,402,400
- 261/32 = - (57,825,075 × 261)/(57,825,075 × 32) = - 15,092,344,575/1,850,402,400
- 72/11 = - (168,218,400 × 72)/(168,218,400 × 11) = - 12,111,724,800/1,850,402,400
- 31/8 = - (231,300,300 × 31)/(231,300,300 × 8) = - 7,170,309,300/1,850,402,400
- 85/32 = - (57,825,075 × 85)/(57,825,075 × 32) = - 4,915,131,375/1,850,402,400
- 68/31 = - (59,690,400 × 68)/(59,690,400 × 31) = - 4,058,947,200/1,850,402,400
- 11/6 = - (308,400,400 × 11)/(308,400,400 × 6) = - 3,392,404,400/1,850,402,400
- 61/34 = - (54,423,600 × 61)/(54,423,600 × 34) = - 3,319,839,600/1,850,402,400
- 43/25 = - (74,016,096 × 43)/(74,016,096 × 25) = - 3,182,692,128/1,850,402,400
- 43/1 = - (1,850,402,400 × 43)/(1,850,402,400 × 1) = - 79,567,303,200/1,850,402,400