Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/126, 56/914, 522/876 quickly i.e. 95004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/126, 56/914, 522/876 is 95004.
LCM(39/126, 56/914, 522/876) = 95004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/126,56/914,522/876
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 39,56,522
Least Common Multiple of Numerators i.e. LCM of 39,56,522 is 190008.
GCF of Denominators means GCF of 126,914,876 as per the given fractions.
GCF of 126,914,876 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,56,522
2 | 39, 56, 522 |
3 | 39, 28, 261 |
13, 28, 87 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 28 x 87 = 190008
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 39,56,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,56,522) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,56,522) x common factors =1 x 6 = 6
LCM(39,56,522) = ( 39 × 56 × 522 ) / 6
LCM(39,56,522) = 1140048 / 6
LCM(39,56,522) = 190008
Lets's calculate GCF of 126,914,876
2 | 126, 914, 876 |
63, 457, 438 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190008/2
Therefore the LCM of Fractions 39/126,56/914,522/876 is 95004
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 126,914,876 . The biggest common factor number is the GCF number.
So the greatest common factor 126,914,876 is 2.
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 39/126, 56/914, 522/876?
Answer: LCM of Numerators as per given numbers 39/126, 56/914, 522/876 is
LCM of Numerators i.e. for 39,56,522 is 190008
GCF of denominators i.e. for 126,914,876 is 2.
Thus, LCM of Fractions is 95004.Finally, LCM of Fractions for 39/126, 56/914, 522/876 is 95004.