Least Common Multiple of 3563/262, 2335/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3563/262, 2335/456 quickly i.e. 8319605/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3563/262, 2335/456 is 8319605/2.

LCM(3563/262, 2335/456) = 8319605/2

LCM of 3563/262, 2335/456

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 3563/262,2335/456

Given numbers are 3563/262,2335/456

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 3563,2335

Least Common Multiple of Numerators i.e. LCM of 3563,2335 is 8319605.

GCF of Denominators means GCF of 262,456 as per the given fractions.

GCF of 262,456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3563,2335

LCM of Fractions 3563/262,2335/456 is 8319605/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 8319605

Least Common Multiple of 3563,2335 with GCF Formula

Least Common Multiple of 3563,2335 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 3563,2335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3563,2335) = 1

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

GCF(3563,2335) x common factors =1 x 1 = 1

LCM(3563,2335) = ( 3563 × 2335 ) / 1

LCM(3563,2335) = 8319605 / 1

LCM(3563,2335) = 8319605


Lets's calculate GCF of 262,456

2 262, 456
131, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8319605/2

Therefore the LCM of Fractions 3563/262,2335/456 is 8319605/2

Greatest Common Factor of 262,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,456 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 262,456 . The biggest common factor number is the GCF number.
So the greatest common factor 262,456 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 3563/262, 2335/456

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 3563/262, 2335/456?

Answer: LCM of Numerators as per given numbers 3563/262, 2335/456 is

LCM of Numerators i.e. for 3563,2335 is 8319605

GCF of denominators i.e. for 262,456 is 2.

Thus, LCM of Fractions is 8319605/2.Finally, LCM of Fractions for 3563/262, 2335/456 is 8319605/2.