Least Common Multiple of 295/42, 564/1164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/42, 564/1164 quickly i.e. 27730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/42, 564/1164 is 27730.

LCM(295/42, 564/1164) = 27730

LCM of 295/42, 564/1164

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 295/42,564/1164

Given numbers are 295/42,564/1164

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 295,564

Least Common Multiple of Numerators i.e. LCM of 295,564 is 166380.

GCF of Denominators means GCF of 42,1164 as per the given fractions.

GCF of 42,1164 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,564

LCM of Fractions 295/42,564/1164 is 27730

Given numbers has no common factors except 1. So, there LCM is their product i.e 166380

Least Common Multiple of 295,564 with GCF Formula

Least Common Multiple of 295,564 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 295,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,564) = 1

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

GCF(295,564) x common factors =1 x 1 = 1

LCM(295,564) = ( 295 × 564 ) / 1

LCM(295,564) = 166380 / 1

LCM(295,564) = 166380


Lets's calculate GCF of 42,1164

2 42, 1164
3 21, 582
7, 194

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166380/6

Therefore the LCM of Fractions 295/42,564/1164 is 27730

Greatest Common Factor of 42,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1164 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 42,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1164 is 6.


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 295/42, 564/1164

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 295/42, 564/1164?

Answer: LCM of Numerators as per given numbers 295/42, 564/1164 is

LCM of Numerators i.e. for 295,564 is 166380

GCF of denominators i.e. for 42,1164 is 6.

Thus, LCM of Fractions is 27730.Finally, LCM of Fractions for 295/42, 564/1164 is 27730.