Least Common Multiple of 654/360, 767/348, 533/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/360, 767/348, 533/940 quickly i.e. 20566338/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/360, 767/348, 533/940 is 20566338/4.

LCM(654/360, 767/348, 533/940) = 20566338/4

LCM of 654/360, 767/348, 533/940

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 654/360,767/348,533/940

Given numbers are 654/360,767/348,533/940

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 654,767,533

Least Common Multiple of Numerators i.e. LCM of 654,767,533 is 20566338.

GCF of Denominators means GCF of 360,348,940 as per the given fractions.

GCF of 360,348,940 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,767,533

LCM of Fractions 654/360,767/348,533/940 is 20566338/4

13 654, 767, 533
654, 59, 41

∴ So the LCM of the given numbers is 13 x 654 x 59 x 41 = 20566338

Least Common Multiple of 654,767,533 with GCF Formula

Least Common Multiple of 654,767,533 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 654,767,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,767,533) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(654,767,533) x common factors =1 x 13 = 13

LCM(654,767,533) = ( 654 × 767 × 533 ) / 13

LCM(654,767,533) = 267362394 / 13

LCM(654,767,533) = 20566338


Lets's calculate GCF of 360,348,940

2 360, 348, 940
2 180, 174, 470
90, 87, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20566338/4

Therefore the LCM of Fractions 654/360,767/348,533/940 is 20566338/4

Greatest Common Factor of 360,348,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,348,940 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 360,348,940 . The biggest common factor number is the GCF number.
So the greatest common factor 360,348,940 is 4.


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 654/360, 767/348, 533/940

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 654/360, 767/348, 533/940?

Answer: LCM of Numerators as per given numbers 654/360, 767/348, 533/940 is

LCM of Numerators i.e. for 654,767,533 is 20566338

GCF of denominators i.e. for 360,348,940 is 4.

Thus, LCM of Fractions is 20566338/4.Finally, LCM of Fractions for 654/360, 767/348, 533/940 is 20566338/4.