Least Common Multiple of 37/46, 95/74, 158/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/46, 95/74, 158/591 quickly i.e. 555370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/46, 95/74, 158/591 is 555370.

LCM(37/46, 95/74, 158/591) = 555370

LCM of 37/46, 95/74, 158/591

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 37/46,95/74,158/591

Given numbers are 37/46,95/74,158/591

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 37,95,158

Least Common Multiple of Numerators i.e. LCM of 37,95,158 is 555370.

GCF of Denominators means GCF of 46,74,591 as per the given fractions.

GCF of 46,74,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,95,158

LCM of Fractions 37/46,95/74,158/591 is 555370

Given numbers has no common factors except 1. So, there LCM is their product i.e 555370

Least Common Multiple of 37,95,158 with GCF Formula

Least Common Multiple of 37,95,158 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 37,95,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,95,158) = 1

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

GCF(37,95,158) x common factors =1 x 1 = 1

LCM(37,95,158) = ( 37 × 95 × 158 ) / 1

LCM(37,95,158) = 555370 / 1

LCM(37,95,158) = 555370


Lets's calculate GCF of 46,74,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555370/1

Therefore the LCM of Fractions 37/46,95/74,158/591 is 555370

Greatest Common Factor of 46,74,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,74,591 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 46,74,591 . The biggest common factor number is the GCF number.
So the greatest common factor 46,74,591 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/46, 95/74, 158/591

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 37/46, 95/74, 158/591?

Answer: LCM of Numerators as per given numbers 37/46, 95/74, 158/591 is

LCM of Numerators i.e. for 37,95,158 is 555370

GCF of denominators i.e. for 46,74,591 is 1.

Thus, LCM of Fractions is 555370.Finally, LCM of Fractions for 37/46, 95/74, 158/591 is 555370.