Least Common Multiple of 264/478, 6914/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/478, 6914/892 quickly i.e. 456324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/478, 6914/892 is 456324.

LCM(264/478, 6914/892) = 456324

LCM of 264/478, 6914/892

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 264/478,6914/892

Given numbers are 264/478,6914/892

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 264,6914

Least Common Multiple of Numerators i.e. LCM of 264,6914 is 912648.

GCF of Denominators means GCF of 478,892 as per the given fractions.

GCF of 478,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,6914

LCM of Fractions 264/478,6914/892 is 456324

2 264, 6914
132, 3457

∴ So the LCM of the given numbers is 2 x 132 x 3457 = 912648

Least Common Multiple of 264,6914 with GCF Formula

Least Common Multiple of 264,6914 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 264,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,6914) = 2

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

GCF(264,6914) x common factors =2 x 1 = 2

LCM(264,6914) = ( 264 × 6914 ) / 2

LCM(264,6914) = 1825296 / 2

LCM(264,6914) = 912648


Lets's calculate GCF of 478,892

2 478, 892
239, 446

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912648/2

Therefore the LCM of Fractions 264/478,6914/892 is 456324

Greatest Common Factor of 478,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,892 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 478,892 . The biggest common factor number is the GCF number.
So the greatest common factor 478,892 is 2.


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 264/478, 6914/892

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 264/478, 6914/892?

Answer: LCM of Numerators as per given numbers 264/478, 6914/892 is

LCM of Numerators i.e. for 264,6914 is 912648

GCF of denominators i.e. for 478,892 is 2.

Thus, LCM of Fractions is 456324.Finally, LCM of Fractions for 264/478, 6914/892 is 456324.