Least Common Multiple of 90/37, 53/88, 932/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/37, 53/88, 932/217 quickly i.e. 2222820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/37, 53/88, 932/217 is 2222820.

LCM(90/37, 53/88, 932/217) = 2222820

LCM of 90/37, 53/88, 932/217

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 90/37,53/88,932/217

Given numbers are 90/37,53/88,932/217

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 90,53,932

Least Common Multiple of Numerators i.e. LCM of 90,53,932 is 2222820.

GCF of Denominators means GCF of 37,88,217 as per the given fractions.

GCF of 37,88,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,53,932

LCM of Fractions 90/37,53/88,932/217 is 2222820

2 90, 53, 932
45, 53, 466

∴ So the LCM of the given numbers is 2 x 45 x 53 x 466 = 2222820

Least Common Multiple of 90,53,932 with GCF Formula

Least Common Multiple of 90,53,932 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 90,53,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,53,932) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,53,932) x common factors =1 x 2 = 2

LCM(90,53,932) = ( 90 × 53 × 932 ) / 2

LCM(90,53,932) = 4445640 / 2

LCM(90,53,932) = 2222820


Lets's calculate GCF of 37,88,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2222820/1

Therefore the LCM of Fractions 90/37,53/88,932/217 is 2222820

Greatest Common Factor of 37,88,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,88,217 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 37,88,217 . The biggest common factor number is the GCF number.
So the greatest common factor 37,88,217 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/37, 53/88, 932/217

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 90/37, 53/88, 932/217?

Answer: LCM of Numerators as per given numbers 90/37, 53/88, 932/217 is

LCM of Numerators i.e. for 90,53,932 is 2222820

GCF of denominators i.e. for 37,88,217 is 1.

Thus, LCM of Fractions is 2222820.Finally, LCM of Fractions for 90/37, 53/88, 932/217 is 2222820.