Least Common Multiple of 7634/762, 8526/5833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7634/762, 8526/5833 quickly i.e. 32543742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7634/762, 8526/5833 is 32543742.

LCM(7634/762, 8526/5833) = 32543742

LCM of 7634/762, 8526/5833

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 7634/762,8526/5833

Given numbers are 7634/762,8526/5833

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 7634,8526

Least Common Multiple of Numerators i.e. LCM of 7634,8526 is 32543742.

GCF of Denominators means GCF of 762,5833 as per the given fractions.

GCF of 762,5833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7634,8526

LCM of Fractions 7634/762,8526/5833 is 32543742

2 7634, 8526
3817, 4263

∴ So the LCM of the given numbers is 2 x 3817 x 4263 = 32543742

Least Common Multiple of 7634,8526 with GCF Formula

Least Common Multiple of 7634,8526 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 7634,8526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7634,8526) = 2

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

GCF(7634,8526) x common factors =2 x 1 = 2

LCM(7634,8526) = ( 7634 × 8526 ) / 2

LCM(7634,8526) = 65087484 / 2

LCM(7634,8526) = 32543742


Lets's calculate GCF of 762,5833

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32543742/1

Therefore the LCM of Fractions 7634/762,8526/5833 is 32543742

Greatest Common Factor of 762,5833 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,5833 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 5833

List of positive integer factors of 5833 that divides 5833 without a remainder.

1,19,307,5833

Greatest Common Factor

We found the factors 762,5833 . The biggest common factor number is the GCF number.
So the greatest common factor 762,5833 is 1.


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 7634/762, 8526/5833

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 7634/762, 8526/5833?

Answer: LCM of Numerators as per given numbers 7634/762, 8526/5833 is

LCM of Numerators i.e. for 7634,8526 is 32543742

GCF of denominators i.e. for 762,5833 is 1.

Thus, LCM of Fractions is 32543742.Finally, LCM of Fractions for 7634/762, 8526/5833 is 32543742.