Least Common Multiple of 256/218, 6315/4900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 256/218, 6315/4900 quickly i.e. 808320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 256/218, 6315/4900 is 808320.

LCM(256/218, 6315/4900) = 808320

LCM of 256/218, 6315/4900

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 256/218,6315/4900

Given numbers are 256/218,6315/4900

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 256,6315

Least Common Multiple of Numerators i.e. LCM of 256,6315 is 1616640.

GCF of Denominators means GCF of 218,4900 as per the given fractions.

GCF of 218,4900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 256,6315

LCM of Fractions 256/218,6315/4900 is 808320

Given numbers has no common factors except 1. So, there LCM is their product i.e 1616640

Least Common Multiple of 256,6315 with GCF Formula

Least Common Multiple of 256,6315 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 256,6315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,6315) = 1

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

GCF(256,6315) x common factors =1 x 1 = 1

LCM(256,6315) = ( 256 × 6315 ) / 1

LCM(256,6315) = 1616640 / 1

LCM(256,6315) = 1616640


Lets's calculate GCF of 218,4900

2 218, 4900
109, 2450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1616640/2

Therefore the LCM of Fractions 256/218,6315/4900 is 808320

Greatest Common Factor of 218,4900 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,4900 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Greatest Common Factor

We found the factors 218,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 218,4900 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 256/218, 6315/4900

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 256/218, 6315/4900?

Answer: LCM of Numerators as per given numbers 256/218, 6315/4900 is

LCM of Numerators i.e. for 256,6315 is 1616640

GCF of denominators i.e. for 218,4900 is 2.

Thus, LCM of Fractions is 808320.Finally, LCM of Fractions for 256/218, 6315/4900 is 808320.