Least Common Multiple of 582/63, 528/70, 724/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/63, 528/70, 724/840 quickly i.e. 9270096/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/63, 528/70, 724/840 is 9270096/7.

LCM(582/63, 528/70, 724/840) = 9270096/7

LCM of 582/63, 528/70, 724/840

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 582/63,528/70,724/840

Given numbers are 582/63,528/70,724/840

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 582,528,724

Least Common Multiple of Numerators i.e. LCM of 582,528,724 is 9270096.

GCF of Denominators means GCF of 63,70,840 as per the given fractions.

GCF of 63,70,840 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,528,724

LCM of Fractions 582/63,528/70,724/840 is 9270096/7

2 582, 528, 724
2 291, 264, 362
3 291, 132, 181
97, 44, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 97 x 44 x 181 = 9270096

Least Common Multiple of 582,528,724 with GCF Formula

Least Common Multiple of 582,528,724 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 582,528,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,528,724) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(582,528,724) x common factors =2 x 12 = 24

LCM(582,528,724) = ( 582 × 528 × 724 ) / 24

LCM(582,528,724) = 222482304 / 24

LCM(582,528,724) = 9270096


Lets's calculate GCF of 63,70,840

7 63, 70, 840
9, 10, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9270096/7

Therefore the LCM of Fractions 582/63,528/70,724/840 is 9270096/7

Greatest Common Factor of 63,70,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,70,840 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 63,70,840 . The biggest common factor number is the GCF number.
So the greatest common factor 63,70,840 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 582/63, 528/70, 724/840

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 582/63, 528/70, 724/840?

Answer: LCM of Numerators as per given numbers 582/63, 528/70, 724/840 is

LCM of Numerators i.e. for 582,528,724 is 9270096

GCF of denominators i.e. for 63,70,840 is 7.

Thus, LCM of Fractions is 9270096/7.Finally, LCM of Fractions for 582/63, 528/70, 724/840 is 9270096/7.