Least Common Multiple of 538/156, 3852/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/156, 3852/814 quickly i.e. 518094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/156, 3852/814 is 518094.

LCM(538/156, 3852/814) = 518094

LCM of 538/156, 3852/814

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 538/156,3852/814

Given numbers are 538/156,3852/814

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 538,3852

Least Common Multiple of Numerators i.e. LCM of 538,3852 is 1036188.

GCF of Denominators means GCF of 156,814 as per the given fractions.

GCF of 156,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,3852

LCM of Fractions 538/156,3852/814 is 518094

2 538, 3852
269, 1926

∴ So the LCM of the given numbers is 2 x 269 x 1926 = 1036188

Least Common Multiple of 538,3852 with GCF Formula

Least Common Multiple of 538,3852 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 538,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,3852) = 2

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

GCF(538,3852) x common factors =2 x 1 = 2

LCM(538,3852) = ( 538 × 3852 ) / 2

LCM(538,3852) = 2072376 / 2

LCM(538,3852) = 1036188


Lets's calculate GCF of 156,814

2 156, 814
78, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036188/2

Therefore the LCM of Fractions 538/156,3852/814 is 518094

Greatest Common Factor of 156,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,814 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 156,814 . The biggest common factor number is the GCF number.
So the greatest common factor 156,814 is 2.


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 538/156, 3852/814

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 538/156, 3852/814?

Answer: LCM of Numerators as per given numbers 538/156, 3852/814 is

LCM of Numerators i.e. for 538,3852 is 1036188

GCF of denominators i.e. for 156,814 is 2.

Thus, LCM of Fractions is 518094.Finally, LCM of Fractions for 538/156, 3852/814 is 518094.