Least Common Multiple of 42/976, 2043/3788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/976, 2043/3788 quickly i.e. 28602/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/976, 2043/3788 is 28602/4.

LCM(42/976, 2043/3788) = 28602/4

LCM of 42/976, 2043/3788

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 42/976,2043/3788

Given numbers are 42/976,2043/3788

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 42,2043

Least Common Multiple of Numerators i.e. LCM of 42,2043 is 28602.

GCF of Denominators means GCF of 976,3788 as per the given fractions.

GCF of 976,3788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,2043

LCM of Fractions 42/976,2043/3788 is 28602/4

3 42, 2043
14, 681

∴ So the LCM of the given numbers is 3 x 14 x 681 = 28602

Least Common Multiple of 42,2043 with GCF Formula

Least Common Multiple of 42,2043 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 42,2043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,2043) = 3

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

GCF(42,2043) x common factors =3 x 1 = 3

LCM(42,2043) = ( 42 × 2043 ) / 3

LCM(42,2043) = 85806 / 3

LCM(42,2043) = 28602


Lets's calculate GCF of 976,3788

2 976, 3788
2 488, 1894
244, 947

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28602/4

Therefore the LCM of Fractions 42/976,2043/3788 is 28602/4

Greatest Common Factor of 976,3788 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,3788 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 3788

List of positive integer factors of 3788 that divides 3788 without a remainder.

1,2,4,947,1894,3788

Greatest Common Factor

We found the factors 976,3788 . The biggest common factor number is the GCF number.
So the greatest common factor 976,3788 is 4.


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 42/976, 2043/3788

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 42/976, 2043/3788?

Answer: LCM of Numerators as per given numbers 42/976, 2043/3788 is

LCM of Numerators i.e. for 42,2043 is 28602

GCF of denominators i.e. for 976,3788 is 4.

Thus, LCM of Fractions is 28602/4.Finally, LCM of Fractions for 42/976, 2043/3788 is 28602/4.