Least Common Multiple of 667/399, 854/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 667/399, 854/854 quickly i.e. 81374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/399, 854/854 is 81374.

LCM(667/399, 854/854) = 81374

LCM of 667/399, 854/854

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 667/399,854/854

Given numbers are 667/399,854/854

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 667,854

Least Common Multiple of Numerators i.e. LCM of 667,854 is 569618.

GCF of Denominators means GCF of 399,854 as per the given fractions.

GCF of 399,854 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,854

LCM of Fractions 667/399,854/854 is 81374

Given numbers has no common factors except 1. So, there LCM is their product i.e 569618

Least Common Multiple of 667,854 with GCF Formula

Least Common Multiple of 667,854 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 667,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,854) = 1

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

GCF(667,854) x common factors =1 x 1 = 1

LCM(667,854) = ( 667 × 854 ) / 1

LCM(667,854) = 569618 / 1

LCM(667,854) = 569618


Lets's calculate GCF of 399,854

7 399, 854
57, 122

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569618/7

Therefore the LCM of Fractions 667/399,854/854 is 81374

Greatest Common Factor of 399,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,854 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 399,854 . The biggest common factor number is the GCF number.
So the greatest common factor 399,854 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 667/399, 854/854

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 667/399, 854/854?

Answer: LCM of Numerators as per given numbers 667/399, 854/854 is

LCM of Numerators i.e. for 667,854 is 569618

GCF of denominators i.e. for 399,854 is 7.

Thus, LCM of Fractions is 81374.Finally, LCM of Fractions for 667/399, 854/854 is 81374.