Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 156/377, 1520/876 quickly i.e. 59280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 156/377, 1520/876 is 59280.
LCM(156/377, 1520/876) = 59280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 156/377,1520/876
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 156,1520
Least Common Multiple of Numerators i.e. LCM of 156,1520 is 59280.
GCF of Denominators means GCF of 377,876 as per the given fractions.
GCF of 377,876 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 156,1520
2 | 156, 1520 |
2 | 78, 760 |
39, 380 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 380 = 59280
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 156,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,1520) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(156,1520) x common factors =4 x 1 = 4
LCM(156,1520) = ( 156 × 1520 ) / 4
LCM(156,1520) = 237120 / 4
LCM(156,1520) = 59280
Lets's calculate GCF of 377,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59280/1
Therefore the LCM of Fractions 156/377,1520/876 is 59280
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
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 377,876 . The biggest common factor number is the GCF number.
So the greatest common factor 377,876 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 156/377, 1520/876?
Answer: LCM of Numerators as per given numbers 156/377, 1520/876 is
LCM of Numerators i.e. for 156,1520 is 59280
GCF of denominators i.e. for 377,876 is 1.
Thus, LCM of Fractions is 59280.Finally, LCM of Fractions for 156/377, 1520/876 is 59280.