Least Common Multiple of 8760/562, 4526/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8760/562, 4526/918 quickly i.e. 135780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8760/562, 4526/918 is 135780.

LCM(8760/562, 4526/918) = 135780

LCM of 8760/562, 4526/918

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 8760/562,4526/918

Given numbers are 8760/562,4526/918

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 8760,4526

Least Common Multiple of Numerators i.e. LCM of 8760,4526 is 271560.

GCF of Denominators means GCF of 562,918 as per the given fractions.

GCF of 562,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8760,4526

LCM of Fractions 8760/562,4526/918 is 135780

2 8760, 4526
73 4380, 2263
60, 31

∴ So the LCM of the given numbers is 2 x 73 x 60 x 31 = 271560

Least Common Multiple of 8760,4526 with GCF Formula

Least Common Multiple of 8760,4526 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 8760,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8760,4526) = 146

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

GCF(8760,4526) x common factors =146 x 1 = 146

LCM(8760,4526) = ( 8760 × 4526 ) / 146

LCM(8760,4526) = 39647760 / 146

LCM(8760,4526) = 271560


Lets's calculate GCF of 562,918

2 562, 918
281, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271560/2

Therefore the LCM of Fractions 8760/562,4526/918 is 135780

Greatest Common Factor of 562,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,918 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 562,918 . The biggest common factor number is the GCF number.
So the greatest common factor 562,918 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 8760/562, 4526/918

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 8760/562, 4526/918?

Answer: LCM of Numerators as per given numbers 8760/562, 4526/918 is

LCM of Numerators i.e. for 8760,4526 is 271560

GCF of denominators i.e. for 562,918 is 2.

Thus, LCM of Fractions is 135780.Finally, LCM of Fractions for 8760/562, 4526/918 is 135780.