Least Common Multiple of 1371/987, 4057/1932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1371/987, 4057/1932 quickly i.e. 5562147/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1371/987, 4057/1932 is 5562147/21.

LCM(1371/987, 4057/1932) = 5562147/21

LCM of 1371/987, 4057/1932

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1371/987,4057/1932

Given numbers are 1371/987,4057/1932

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 1371,4057

Least Common Multiple of Numerators i.e. LCM of 1371,4057 is 5562147.

GCF of Denominators means GCF of 987,1932 as per the given fractions.

GCF of 987,1932 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1371,4057

LCM of Fractions 1371/987,4057/1932 is 5562147/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 5562147

Least Common Multiple of 1371,4057 with GCF Formula

Least Common Multiple of 1371,4057 with GCF Formula

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 1371,4057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1371,4057) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1371,4057) x common factors =1 x 1 = 1

LCM(1371,4057) = ( 1371 × 4057 ) / 1

LCM(1371,4057) = 5562147 / 1

LCM(1371,4057) = 5562147


Lets's calculate GCF of 987,1932

3 987, 1932
7 329, 644
47, 92

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5562147/21

Therefore the LCM of Fractions 1371/987,4057/1932 is 5562147/21

Greatest Common Factor of 987,1932 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,1932 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932

Greatest Common Factor

We found the factors 987,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 987,1932 is 21.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1371/987, 4057/1932

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 1371/987, 4057/1932?

Answer: LCM of Numerators as per given numbers 1371/987, 4057/1932 is

LCM of Numerators i.e. for 1371,4057 is 5562147

GCF of denominators i.e. for 987,1932 is 21.

Thus, LCM of Fractions is 5562147/21.Finally, LCM of Fractions for 1371/987, 4057/1932 is 5562147/21.