Least Common Multiple of 52/340, 3314/3812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/340, 3314/3812 quickly i.e. 21541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/340, 3314/3812 is 21541.

LCM(52/340, 3314/3812) = 21541

LCM of 52/340, 3314/3812

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 52/340,3314/3812

Given numbers are 52/340,3314/3812

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 52,3314

Least Common Multiple of Numerators i.e. LCM of 52,3314 is 86164.

GCF of Denominators means GCF of 340,3812 as per the given fractions.

GCF of 340,3812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,3314

LCM of Fractions 52/340,3314/3812 is 21541

2 52, 3314
26, 1657

∴ So the LCM of the given numbers is 2 x 26 x 1657 = 86164

Least Common Multiple of 52,3314 with GCF Formula

Least Common Multiple of 52,3314 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 52,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,3314) = 2

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

GCF(52,3314) x common factors =2 x 1 = 2

LCM(52,3314) = ( 52 × 3314 ) / 2

LCM(52,3314) = 172328 / 2

LCM(52,3314) = 86164


Lets's calculate GCF of 340,3812

2 340, 3812
2 170, 1906
85, 953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86164/4

Therefore the LCM of Fractions 52/340,3314/3812 is 21541

Greatest Common Factor of 340,3812 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,3812 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1,2,4,953,1906,3812

Greatest Common Factor

We found the factors 340,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 340,3812 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 52/340, 3314/3812

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 52/340, 3314/3812?

Answer: LCM of Numerators as per given numbers 52/340, 3314/3812 is

LCM of Numerators i.e. for 52,3314 is 86164

GCF of denominators i.e. for 340,3812 is 4.

Thus, LCM of Fractions is 21541.Finally, LCM of Fractions for 52/340, 3314/3812 is 21541.