Least Common Multiple of 894/36, 972/1688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 894/36, 972/1688 quickly i.e. 36207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/36, 972/1688 is 36207.

LCM(894/36, 972/1688) = 36207

LCM of 894/36, 972/1688

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 894/36,972/1688

Given numbers are 894/36,972/1688

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 894,972

Least Common Multiple of Numerators i.e. LCM of 894,972 is 144828.

GCF of Denominators means GCF of 36,1688 as per the given fractions.

GCF of 36,1688 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,972

LCM of Fractions 894/36,972/1688 is 36207

2 894, 972
3 447, 486
149, 162

∴ So the LCM of the given numbers is 2 x 3 x 149 x 162 = 144828

Least Common Multiple of 894,972 with GCF Formula

Least Common Multiple of 894,972 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 894,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,972) = 6

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

GCF(894,972) x common factors =6 x 1 = 6

LCM(894,972) = ( 894 × 972 ) / 6

LCM(894,972) = 868968 / 6

LCM(894,972) = 144828


Lets's calculate GCF of 36,1688

2 36, 1688
2 18, 844
9, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144828/4

Therefore the LCM of Fractions 894/36,972/1688 is 36207

Greatest Common Factor of 36,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1688 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 36,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1688 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 894/36, 972/1688

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 894/36, 972/1688?

Answer: LCM of Numerators as per given numbers 894/36, 972/1688 is

LCM of Numerators i.e. for 894,972 is 144828

GCF of denominators i.e. for 36,1688 is 4.

Thus, LCM of Fractions is 36207.Finally, LCM of Fractions for 894/36, 972/1688 is 36207.