Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 836/31 : 181,502,706 ÷ 31 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 31 = 5,854,926
- 725/38 : 181,502,706 ÷ 38 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ (2 × 19) = 4,776,387
- 43/7 : 181,502,706 ÷ 7 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 7 = 25,928,958
- 23/6 : 181,502,706 ÷ 6 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ (2 × 3) = 30,250,451
- 106/21 : 181,502,706 ÷ 21 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ (3 × 7) = 8,642,986
- 113/33 : 181,502,706 ÷ 33 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ (3 × 11) = 5,500,082
- 50/23 : 181,502,706 ÷ 23 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 23 = 7,891,422
- 53/31 : 181,502,706 ÷ 31 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 31 = 5,854,926
- 3/2 : 181,502,706 ÷ 2 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 2 = 90,751,353
- 49/33 : 181,502,706 ÷ 33 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ (3 × 11) = 5,500,082
- 50/29 : 181,502,706 ÷ 29 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 29 = 6,258,714
- 43/31 : 181,502,706 ÷ 31 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 31 = 5,854,926
- 44 : 181,502,706 ÷ 1 = (2 × 3 × 7 × 11 × 19 × 23 × 29 × 31) ÷ 1 = 181,502,706
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:
- 836/31 = - (5,854,926 × 836)/(5,854,926 × 31) = - 4,894,718,136/181,502,706
- 725/38 = - (4,776,387 × 725)/(4,776,387 × 38) = - 3,462,880,575/181,502,706
- 43/7 = - (25,928,958 × 43)/(25,928,958 × 7) = - 1,114,945,194/181,502,706
- 23/6 = - (30,250,451 × 23)/(30,250,451 × 6) = - 695,760,373/181,502,706
- 106/21 = - (8,642,986 × 106)/(8,642,986 × 21) = - 916,156,516/181,502,706
- 113/33 = - (5,500,082 × 113)/(5,500,082 × 33) = - 621,509,266/181,502,706
- 50/23 = - (7,891,422 × 50)/(7,891,422 × 23) = - 394,571,100/181,502,706
- 53/31 = - (5,854,926 × 53)/(5,854,926 × 31) = - 310,311,078/181,502,706
- 3/2 = - (90,751,353 × 3)/(90,751,353 × 2) = - 272,254,059/181,502,706
- 49/33 = - (5,500,082 × 49)/(5,500,082 × 33) = - 269,504,018/181,502,706
- 50/29 = - (6,258,714 × 50)/(6,258,714 × 29) = - 312,935,700/181,502,706
- 43/31 = - (5,854,926 × 43)/(5,854,926 × 31) = - 251,761,818/181,502,706
- 44/1 = - (181,502,706 × 44)/(181,502,706 × 1) = - 7,986,119,064/181,502,706