Least Common Multiple of 8338/525, 7864/5558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8338/525, 7864/5558 quickly i.e. 32785016/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8338/525, 7864/5558 is 32785016/7.

LCM(8338/525, 7864/5558) = 32785016/7

LCM of 8338/525, 7864/5558

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 8338/525,7864/5558

Given numbers are 8338/525,7864/5558

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 8338,7864

Least Common Multiple of Numerators i.e. LCM of 8338,7864 is 32785016.

GCF of Denominators means GCF of 525,5558 as per the given fractions.

GCF of 525,5558 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8338,7864

LCM of Fractions 8338/525,7864/5558 is 32785016/7

2 8338, 7864
4169, 3932

∴ So the LCM of the given numbers is 2 x 4169 x 3932 = 32785016

Least Common Multiple of 8338,7864 with GCF Formula

Least Common Multiple of 8338,7864 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 8338,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8338,7864) = 2

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

GCF(8338,7864) x common factors =2 x 1 = 2

LCM(8338,7864) = ( 8338 × 7864 ) / 2

LCM(8338,7864) = 65570032 / 2

LCM(8338,7864) = 32785016


Lets's calculate GCF of 525,5558

7 525, 5558
75, 794

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32785016/7

Therefore the LCM of Fractions 8338/525,7864/5558 is 32785016/7

Greatest Common Factor of 525,5558 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,5558 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1,2,7,14,397,794,2779,5558

Greatest Common Factor

We found the factors 525,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 525,5558 is 7.


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 8338/525, 7864/5558

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 8338/525, 7864/5558?

Answer: LCM of Numerators as per given numbers 8338/525, 7864/5558 is

LCM of Numerators i.e. for 8338,7864 is 32785016

GCF of denominators i.e. for 525,5558 is 7.

Thus, LCM of Fractions is 32785016/7.Finally, LCM of Fractions for 8338/525, 7864/5558 is 32785016/7.