Least Common Multiple of 37/65, 57/64, 962/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/65, 57/64, 962/298 quickly i.e. 54834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/65, 57/64, 962/298 is 54834.

LCM(37/65, 57/64, 962/298) = 54834

LCM of 37/65, 57/64, 962/298

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 37/65,57/64,962/298

Given numbers are 37/65,57/64,962/298

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 37,57,962

Least Common Multiple of Numerators i.e. LCM of 37,57,962 is 54834.

GCF of Denominators means GCF of 65,64,298 as per the given fractions.

GCF of 65,64,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,57,962

LCM of Fractions 37/65,57/64,962/298 is 54834

37 37, 57, 962
1, 57, 26

∴ So the LCM of the given numbers is 37 x 1 x 57 x 26 = 54834

Least Common Multiple of 37,57,962 with GCF Formula

Least Common Multiple of 37,57,962 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 37,57,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,57,962) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(37,57,962) x common factors =1 x 37 = 37

LCM(37,57,962) = ( 37 × 57 × 962 ) / 37

LCM(37,57,962) = 2028858 / 37

LCM(37,57,962) = 54834


Lets's calculate GCF of 65,64,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54834/1

Therefore the LCM of Fractions 37/65,57/64,962/298 is 54834

Greatest Common Factor of 65,64,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,64,298 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 65,64,298 . The biggest common factor number is the GCF number.
So the greatest common factor 65,64,298 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/65, 57/64, 962/298

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 37/65, 57/64, 962/298?

Answer: LCM of Numerators as per given numbers 37/65, 57/64, 962/298 is

LCM of Numerators i.e. for 37,57,962 is 54834

GCF of denominators i.e. for 65,64,298 is 1.

Thus, LCM of Fractions is 54834.Finally, LCM of Fractions for 37/65, 57/64, 962/298 is 54834.