Least Common Multiple of 234/637, 366/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 234/637, 366/832 quickly i.e. 1098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/637, 366/832 is 1098.

LCM(234/637, 366/832) = 1098

LCM of 234/637, 366/832

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 234/637,366/832

Given numbers are 234/637,366/832

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 234,366

Least Common Multiple of Numerators i.e. LCM of 234,366 is 14274.

GCF of Denominators means GCF of 637,832 as per the given fractions.

GCF of 637,832 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,366

LCM of Fractions 234/637,366/832 is 1098

2 234, 366
3 117, 183
39, 61

∴ So the LCM of the given numbers is 2 x 3 x 39 x 61 = 14274

Least Common Multiple of 234,366 with GCF Formula

Least Common Multiple of 234,366 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 234,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,366) = 6

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

GCF(234,366) x common factors =6 x 1 = 6

LCM(234,366) = ( 234 × 366 ) / 6

LCM(234,366) = 85644 / 6

LCM(234,366) = 14274


Lets's calculate GCF of 637,832

13 637, 832
49, 64

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14274/13

Therefore the LCM of Fractions 234/637,366/832 is 1098

Greatest Common Factor of 637,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,832 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 637,832 . The biggest common factor number is the GCF number.
So the greatest common factor 637,832 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 234/637, 366/832

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 234/637, 366/832?

Answer: LCM of Numerators as per given numbers 234/637, 366/832 is

LCM of Numerators i.e. for 234,366 is 14274

GCF of denominators i.e. for 637,832 is 13.

Thus, LCM of Fractions is 1098.Finally, LCM of Fractions for 234/637, 366/832 is 1098.