Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
23/13 : 79,351,831,690,560 ÷ 13 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 13 = 6,103,987,053,120
74/47 : 79,351,831,690,560 ÷ 47 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 47 = 1,688,336,844,480
106/59 : 79,351,831,690,560 ÷ 59 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 59 = 1,344,946,299,840
111/64 : 79,351,831,690,560 ÷ 64 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 26 = 1,239,872,370,165
117/64 : 79,351,831,690,560 ÷ 64 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 26 = 1,239,872,370,165
107/57 : 79,351,831,690,560 ÷ 57 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ (3 × 19) = 1,392,137,398,080
115/57 : 79,351,831,690,560 ÷ 57 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ (3 × 19) = 1,392,137,398,080
107/53 : 79,351,831,690,560 ÷ 53 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 53 = 1,497,204,371,520
11/5 : 79,351,831,690,560 ÷ 5 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 5 = 15,870,366,338,112
113/48 : 79,351,831,690,560 ÷ 48 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ (24 × 3) = 1,653,163,160,220
104/47 : 79,351,831,690,560 ÷ 47 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 47 = 1,688,336,844,480
123/55 : 79,351,831,690,560 ÷ 55 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ (5 × 11) = 1,442,760,576,192
53/27 : 79,351,831,690,560 ÷ 27 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 33 = 2,938,956,729,280
54/23 : 79,351,831,690,560 ÷ 23 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 23 = 3,450,079,638,720
59/2 : 79,351,831,690,560 ÷ 2 = (26 × 33 × 5 × 11 × 13 × 19 × 23 × 47 × 53 × 59) ÷ 2 = 39,675,915,845,280
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:
23/13 = (6,103,987,053,120 × 23)/(6,103,987,053,120 × 13) = 140,391,702,221,760/79,351,831,690,560
74/47 = (1,688,336,844,480 × 74)/(1,688,336,844,480 × 47) = 124,936,926,491,520/79,351,831,690,560
106/59 = (1,344,946,299,840 × 106)/(1,344,946,299,840 × 59) = 142,564,307,783,040/79,351,831,690,560
111/64 = (1,239,872,370,165 × 111)/(1,239,872,370,165 × 64) = 137,625,833,088,315/79,351,831,690,560
117/64 = (1,239,872,370,165 × 117)/(1,239,872,370,165 × 64) = 145,065,067,309,305/79,351,831,690,560
107/57 = (1,392,137,398,080 × 107)/(1,392,137,398,080 × 57) = 148,958,701,594,560/79,351,831,690,560
115/57 = (1,392,137,398,080 × 115)/(1,392,137,398,080 × 57) = 160,095,800,779,200/79,351,831,690,560
107/53 = (1,497,204,371,520 × 107)/(1,497,204,371,520 × 53) = 160,200,867,752,640/79,351,831,690,560
11/5 = (15,870,366,338,112 × 11)/(15,870,366,338,112 × 5) = 174,574,029,719,232/79,351,831,690,560
113/48 = (1,653,163,160,220 × 113)/(1,653,163,160,220 × 48) = 186,807,437,104,860/79,351,831,690,560
104/47 = (1,688,336,844,480 × 104)/(1,688,336,844,480 × 47) = 175,587,031,825,920/79,351,831,690,560
123/55 = (1,442,760,576,192 × 123)/(1,442,760,576,192 × 55) = 177,459,550,871,616/79,351,831,690,560
53/27 = (2,938,956,729,280 × 53)/(2,938,956,729,280 × 27) = 155,764,706,651,840/79,351,831,690,560
54/23 = (3,450,079,638,720 × 54)/(3,450,079,638,720 × 23) = 186,304,300,490,880/79,351,831,690,560
59/2 = (39,675,915,845,280 × 59)/(39,675,915,845,280 × 2) = 2,340,879,034,871,520/79,351,831,690,560