Least Common Multiple of 37/692, 654/291, 979/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/692, 654/291, 979/442 quickly i.e. 23689842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/692, 654/291, 979/442 is 23689842.

LCM(37/692, 654/291, 979/442) = 23689842

LCM of 37/692, 654/291, 979/442

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 37/692,654/291,979/442

Given numbers are 37/692,654/291,979/442

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 37,654,979

Least Common Multiple of Numerators i.e. LCM of 37,654,979 is 23689842.

GCF of Denominators means GCF of 692,291,442 as per the given fractions.

GCF of 692,291,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,654,979

LCM of Fractions 37/692,654/291,979/442 is 23689842

Given numbers has no common factors except 1. So, there LCM is their product i.e 23689842

Least Common Multiple of 37,654,979 with GCF Formula

Least Common Multiple of 37,654,979 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 37,654,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,654,979) = 1

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

GCF(37,654,979) x common factors =1 x 1 = 1

LCM(37,654,979) = ( 37 × 654 × 979 ) / 1

LCM(37,654,979) = 23689842 / 1

LCM(37,654,979) = 23689842


Lets's calculate GCF of 692,291,442

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23689842/1

Therefore the LCM of Fractions 37/692,654/291,979/442 is 23689842

Greatest Common Factor of 692,291,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,291,442 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 692,291,442 . The biggest common factor number is the GCF number.
So the greatest common factor 692,291,442 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/692, 654/291, 979/442

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 37/692, 654/291, 979/442?

Answer: LCM of Numerators as per given numbers 37/692, 654/291, 979/442 is

LCM of Numerators i.e. for 37,654,979 is 23689842

GCF of denominators i.e. for 692,291,442 is 1.

Thus, LCM of Fractions is 23689842.Finally, LCM of Fractions for 37/692, 654/291, 979/442 is 23689842.