Least Common Multiple of 19/57, 64/21, 358/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/57, 64/21, 358/942 quickly i.e. 217664/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/57, 64/21, 358/942 is 217664/3.

LCM(19/57, 64/21, 358/942) = 217664/3

LCM of 19/57, 64/21, 358/942

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 19/57,64/21,358/942

Given numbers are 19/57,64/21,358/942

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 19,64,358

Least Common Multiple of Numerators i.e. LCM of 19,64,358 is 217664.

GCF of Denominators means GCF of 57,21,942 as per the given fractions.

GCF of 57,21,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,64,358

LCM of Fractions 19/57,64/21,358/942 is 217664/3

2 19, 64, 358
19, 32, 179

∴ So the LCM of the given numbers is 2 x 19 x 32 x 179 = 217664

Least Common Multiple of 19,64,358 with GCF Formula

Least Common Multiple of 19,64,358 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 19,64,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,64,358) = 1

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

GCF(19,64,358) x common factors =1 x 2 = 2

LCM(19,64,358) = ( 19 × 64 × 358 ) / 2

LCM(19,64,358) = 435328 / 2

LCM(19,64,358) = 217664


Lets's calculate GCF of 57,21,942

3 57, 21, 942
19, 7, 314

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217664/3

Therefore the LCM of Fractions 19/57,64/21,358/942 is 217664/3

Greatest Common Factor of 57,21,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,21,942 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 21

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

1,3,7,21

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 57,21,942 . The biggest common factor number is the GCF number.
So the greatest common factor 57,21,942 is 3.


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 19/57, 64/21, 358/942

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 19/57, 64/21, 358/942?

Answer: LCM of Numerators as per given numbers 19/57, 64/21, 358/942 is

LCM of Numerators i.e. for 19,64,358 is 217664

GCF of denominators i.e. for 57,21,942 is 3.

Thus, LCM of Fractions is 217664/3.Finally, LCM of Fractions for 19/57, 64/21, 358/942 is 217664/3.