Least Common Multiple of 256/453, 735/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 256/453, 735/738 quickly i.e. 62720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 256/453, 735/738 is 62720.

LCM(256/453, 735/738) = 62720

LCM of 256/453, 735/738

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 256/453,735/738

Given numbers are 256/453,735/738

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 256,735

Least Common Multiple of Numerators i.e. LCM of 256,735 is 188160.

GCF of Denominators means GCF of 453,738 as per the given fractions.

GCF of 453,738 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 256,735

LCM of Fractions 256/453,735/738 is 62720

Given numbers has no common factors except 1. So, there LCM is their product i.e 188160

Least Common Multiple of 256,735 with GCF Formula

Least Common Multiple of 256,735 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 256,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,735) = 1

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

GCF(256,735) x common factors =1 x 1 = 1

LCM(256,735) = ( 256 × 735 ) / 1

LCM(256,735) = 188160 / 1

LCM(256,735) = 188160


Lets's calculate GCF of 453,738

3 453, 738
151, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188160/3

Therefore the LCM of Fractions 256/453,735/738 is 62720

Greatest Common Factor of 453,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,738 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 453,738 . The biggest common factor number is the GCF number.
So the greatest common factor 453,738 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 256/453, 735/738

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 256/453, 735/738?

Answer: LCM of Numerators as per given numbers 256/453, 735/738 is

LCM of Numerators i.e. for 256,735 is 188160

GCF of denominators i.e. for 453,738 is 3.

Thus, LCM of Fractions is 62720.Finally, LCM of Fractions for 256/453, 735/738 is 62720.