Least Common Multiple of 7563/512, 4262/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7563/512, 4262/602 quickly i.e. 16116753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7563/512, 4262/602 is 16116753.

LCM(7563/512, 4262/602) = 16116753

LCM of 7563/512, 4262/602

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 7563/512,4262/602

Given numbers are 7563/512,4262/602

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 7563,4262

Least Common Multiple of Numerators i.e. LCM of 7563,4262 is 32233506.

GCF of Denominators means GCF of 512,602 as per the given fractions.

GCF of 512,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7563,4262

LCM of Fractions 7563/512,4262/602 is 16116753

Given numbers has no common factors except 1. So, there LCM is their product i.e 32233506

Least Common Multiple of 7563,4262 with GCF Formula

Least Common Multiple of 7563,4262 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 7563,4262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7563,4262) = 1

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

GCF(7563,4262) x common factors =1 x 1 = 1

LCM(7563,4262) = ( 7563 × 4262 ) / 1

LCM(7563,4262) = 32233506 / 1

LCM(7563,4262) = 32233506


Lets's calculate GCF of 512,602

2 512, 602
256, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32233506/2

Therefore the LCM of Fractions 7563/512,4262/602 is 16116753

Greatest Common Factor of 512,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,602 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 512,602 . The biggest common factor number is the GCF number.
So the greatest common factor 512,602 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 7563/512, 4262/602

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 7563/512, 4262/602?

Answer: LCM of Numerators as per given numbers 7563/512, 4262/602 is

LCM of Numerators i.e. for 7563,4262 is 32233506

GCF of denominators i.e. for 512,602 is 2.

Thus, LCM of Fractions is 16116753.Finally, LCM of Fractions for 7563/512, 4262/602 is 16116753.