Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 377/37, 156/40, 924/756 quickly i.e. 348348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 377/37, 156/40, 924/756 is 348348.
LCM(377/37, 156/40, 924/756) = 348348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 377/37,156/40,924/756
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 377,156,924
Least Common Multiple of Numerators i.e. LCM of 377,156,924 is 348348.
GCF of Denominators means GCF of 37,40,756 as per the given fractions.
GCF of 37,40,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 377,156,924
2 | 377, 156, 924 |
2 | 377, 78, 462 |
3 | 377, 39, 231 |
13 | 377, 13, 77 |
29, 1, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 29 x 1 x 77 = 348348
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 377,156,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,156,924) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(377,156,924) x common factors =1 x 156 = 156
LCM(377,156,924) = ( 377 × 156 × 924 ) / 156
LCM(377,156,924) = 54342288 / 156
LCM(377,156,924) = 348348
Lets's calculate GCF of 37,40,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348348/1
Therefore the LCM of Fractions 377/37,156/40,924/756 is 348348
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 37,40,756 . The biggest common factor number is the GCF number.
So the greatest common factor 37,40,756 is 1.
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 377/37, 156/40, 924/756?
Answer: LCM of Numerators as per given numbers 377/37, 156/40, 924/756 is
LCM of Numerators i.e. for 377,156,924 is 348348
GCF of denominators i.e. for 37,40,756 is 1.
Thus, LCM of Fractions is 348348.Finally, LCM of Fractions for 377/37, 156/40, 924/756 is 348348.