Least Common Multiple of 564/364, 3962/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/364, 3962/351 quickly i.e. 1117284/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/364, 3962/351 is 1117284/13.

LCM(564/364, 3962/351) = 1117284/13

LCM of 564/364, 3962/351

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 564/364,3962/351

Given numbers are 564/364,3962/351

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 564,3962

Least Common Multiple of Numerators i.e. LCM of 564,3962 is 1117284.

GCF of Denominators means GCF of 364,351 as per the given fractions.

GCF of 364,351 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,3962

LCM of Fractions 564/364,3962/351 is 1117284/13

2 564, 3962
282, 1981

∴ So the LCM of the given numbers is 2 x 282 x 1981 = 1117284

Least Common Multiple of 564,3962 with GCF Formula

Least Common Multiple of 564,3962 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 564,3962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,3962) = 2

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

GCF(564,3962) x common factors =2 x 1 = 2

LCM(564,3962) = ( 564 × 3962 ) / 2

LCM(564,3962) = 2234568 / 2

LCM(564,3962) = 1117284


Lets's calculate GCF of 364,351

13 364, 351
28, 27

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1117284/13

Therefore the LCM of Fractions 564/364,3962/351 is 1117284/13

Greatest Common Factor of 364,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,351 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 364,351 . The biggest common factor number is the GCF number.
So the greatest common factor 364,351 is 13.


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 564/364, 3962/351

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 564/364, 3962/351?

Answer: LCM of Numerators as per given numbers 564/364, 3962/351 is

LCM of Numerators i.e. for 564,3962 is 1117284

GCF of denominators i.e. for 364,351 is 13.

Thus, LCM of Fractions is 1117284/13.Finally, LCM of Fractions for 564/364, 3962/351 is 1117284/13.