Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 2,744/47 : 5,514,495,365,610 ÷ 47 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 47 = 117,329,688,630
- 1,210/43 : 5,514,495,365,610 ÷ 43 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 43 = 128,244,078,270
- 587/45 : 5,514,495,365,610 ÷ 45 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (32 × 5) = 122,544,341,458
- 179/15 : 5,514,495,365,610 ÷ 15 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (3 × 5) = 367,633,024,374
- 292/35 : 5,514,495,365,610 ÷ 35 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (5 × 7) = 157,557,010,446
- 135/46 : 5,514,495,365,610 ÷ 46 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (2 × 23) = 119,880,334,035
- 38/17 : 5,514,495,365,610 ÷ 17 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 17 = 324,382,080,330
- 20/11 : 5,514,495,365,610 ÷ 11 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 11 = 501,317,760,510
- 88/57 : 5,514,495,365,610 ÷ 57 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (3 × 19) = 96,745,532,730
- 71/46 : 5,514,495,365,610 ÷ 46 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (2 × 23) = 119,880,334,035
- 30/19 : 5,514,495,365,610 ÷ 19 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 19 = 290,236,598,190
- 69/53 : 5,514,495,365,610 ÷ 53 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ 53 = 104,047,082,370
- 23/21 : 5,514,495,365,610 ÷ 21 = (2 × 32 × 5 × 7 × 11 × 17 × 19 × 23 × 43 × 47 × 53) ÷ (3 × 7) = 262,595,017,410
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:
- 2,744/47 = - (117,329,688,630 × 2,744)/(117,329,688,630 × 47) = - 321,952,665,600,720/5,514,495,365,610
- 1,210/43 = - (128,244,078,270 × 1,210)/(128,244,078,270 × 43) = - 155,175,334,706,700/5,514,495,365,610
- 587/45 = - (122,544,341,458 × 587)/(122,544,341,458 × 45) = - 71,933,528,435,846/5,514,495,365,610
- 179/15 = - (367,633,024,374 × 179)/(367,633,024,374 × 15) = - 65,806,311,362,946/5,514,495,365,610
- 292/35 = - (157,557,010,446 × 292)/(157,557,010,446 × 35) = - 46,006,647,050,232/5,514,495,365,610
- 135/46 = - (119,880,334,035 × 135)/(119,880,334,035 × 46) = - 16,183,845,094,725/5,514,495,365,610
- 38/17 = - (324,382,080,330 × 38)/(324,382,080,330 × 17) = - 12,326,519,052,540/5,514,495,365,610
- 20/11 = - (501,317,760,510 × 20)/(501,317,760,510 × 11) = - 10,026,355,210,200/5,514,495,365,610
- 88/57 = - (96,745,532,730 × 88)/(96,745,532,730 × 57) = - 8,513,606,880,240/5,514,495,365,610
- 71/46 = - (119,880,334,035 × 71)/(119,880,334,035 × 46) = - 8,511,503,716,485/5,514,495,365,610
- 30/19 = - (290,236,598,190 × 30)/(290,236,598,190 × 19) = - 8,707,097,945,700/5,514,495,365,610
- 69/53 = - (104,047,082,370 × 69)/(104,047,082,370 × 53) = - 7,179,248,683,530/5,514,495,365,610
- 23/21 = - (262,595,017,410 × 23)/(262,595,017,410 × 21) = - 6,039,685,400,430/5,514,495,365,610