Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/939, 63/909, 126/708 quickly i.e. 798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/939, 63/909, 126/708 is 798.
LCM(57/939, 63/909, 126/708) = 798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/939,63/909,126/708
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 57,63,126
Least Common Multiple of Numerators i.e. LCM of 57,63,126 is 2394.
GCF of Denominators means GCF of 939,909,708 as per the given fractions.
GCF of 939,909,708 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,63,126
3 | 57, 63, 126 |
3 | 19, 21, 42 |
7 | 19, 7, 14 |
19, 1, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 19 x 1 x 2 = 2394
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 57,63,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,63,126) = 3
common factors(in case of two or more numbers have common factors) = 63
GCF(57,63,126) x common factors =3 x 63 = 189
LCM(57,63,126) = ( 57 × 63 × 126 ) / 189
LCM(57,63,126) = 452466 / 189
LCM(57,63,126) = 2394
Lets's calculate GCF of 939,909,708
3 | 939, 909, 708 |
313, 303, 236 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2394/3
Therefore the LCM of Fractions 57/939,63/909,126/708 is 798
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 939,909,708 . The biggest common factor number is the GCF number.
So the greatest common factor 939,909,708 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 57/939, 63/909, 126/708?
Answer: LCM of Numerators as per given numbers 57/939, 63/909, 126/708 is
LCM of Numerators i.e. for 57,63,126 is 2394
GCF of denominators i.e. for 939,909,708 is 3.
Thus, LCM of Fractions is 798.Finally, LCM of Fractions for 57/939, 63/909, 126/708 is 798.