Least Common Multiple of 37/21, 64/746, 345/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/21, 64/746, 345/157 quickly i.e. 816960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/21, 64/746, 345/157 is 816960.

LCM(37/21, 64/746, 345/157) = 816960

LCM of 37/21, 64/746, 345/157

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 37/21,64/746,345/157

Given numbers are 37/21,64/746,345/157

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 37,64,345

Least Common Multiple of Numerators i.e. LCM of 37,64,345 is 816960.

GCF of Denominators means GCF of 21,746,157 as per the given fractions.

GCF of 21,746,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,64,345

LCM of Fractions 37/21,64/746,345/157 is 816960

Given numbers has no common factors except 1. So, there LCM is their product i.e 816960

Least Common Multiple of 37,64,345 with GCF Formula

Least Common Multiple of 37,64,345 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 37,64,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,64,345) = 1

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

GCF(37,64,345) x common factors =1 x 1 = 1

LCM(37,64,345) = ( 37 × 64 × 345 ) / 1

LCM(37,64,345) = 816960 / 1

LCM(37,64,345) = 816960


Lets's calculate GCF of 21,746,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816960/1

Therefore the LCM of Fractions 37/21,64/746,345/157 is 816960

Greatest Common Factor of 21,746,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,746,157 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 21,746,157 . The biggest common factor number is the GCF number.
So the greatest common factor 21,746,157 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 37/21, 64/746, 345/157

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 37/21, 64/746, 345/157?

Answer: LCM of Numerators as per given numbers 37/21, 64/746, 345/157 is

LCM of Numerators i.e. for 37,64,345 is 816960

GCF of denominators i.e. for 21,746,157 is 1.

Thus, LCM of Fractions is 816960.Finally, LCM of Fractions for 37/21, 64/746, 345/157 is 816960.