Least Common Multiple of 2418/813, 5164/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2418/813, 5164/468 quickly i.e. 2081092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2418/813, 5164/468 is 2081092.

LCM(2418/813, 5164/468) = 2081092

LCM of 2418/813, 5164/468

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 2418/813,5164/468

Given numbers are 2418/813,5164/468

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 2418,5164

Least Common Multiple of Numerators i.e. LCM of 2418,5164 is 6243276.

GCF of Denominators means GCF of 813,468 as per the given fractions.

GCF of 813,468 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2418,5164

LCM of Fractions 2418/813,5164/468 is 2081092

2 2418, 5164
1209, 2582

∴ So the LCM of the given numbers is 2 x 1209 x 2582 = 6243276

Least Common Multiple of 2418,5164 with GCF Formula

Least Common Multiple of 2418,5164 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 2418,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2418,5164) = 2

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

GCF(2418,5164) x common factors =2 x 1 = 2

LCM(2418,5164) = ( 2418 × 5164 ) / 2

LCM(2418,5164) = 12486552 / 2

LCM(2418,5164) = 6243276


Lets's calculate GCF of 813,468

3 813, 468
271, 156

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6243276/3

Therefore the LCM of Fractions 2418/813,5164/468 is 2081092

Greatest Common Factor of 813,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,468 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 813,468 . The biggest common factor number is the GCF number.
So the greatest common factor 813,468 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2418/813, 5164/468

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 2418/813, 5164/468?

Answer: LCM of Numerators as per given numbers 2418/813, 5164/468 is

LCM of Numerators i.e. for 2418,5164 is 6243276

GCF of denominators i.e. for 813,468 is 3.

Thus, LCM of Fractions is 2081092.Finally, LCM of Fractions for 2418/813, 5164/468 is 2081092.