Least Common Multiple of 357/743, 528/760, 789/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/743, 528/760, 789/366 quickly i.e. 16524816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/743, 528/760, 789/366 is 16524816.

LCM(357/743, 528/760, 789/366) = 16524816

LCM of 357/743, 528/760, 789/366

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 357/743,528/760,789/366

Given numbers are 357/743,528/760,789/366

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 357,528,789

Least Common Multiple of Numerators i.e. LCM of 357,528,789 is 16524816.

GCF of Denominators means GCF of 743,760,366 as per the given fractions.

GCF of 743,760,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,528,789

LCM of Fractions 357/743,528/760,789/366 is 16524816

3 357, 528, 789
119, 176, 263

∴ So the LCM of the given numbers is 3 x 119 x 176 x 263 = 16524816

Least Common Multiple of 357,528,789 with GCF Formula

Least Common Multiple of 357,528,789 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 357,528,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,528,789) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(357,528,789) x common factors =3 x 3 = 9

LCM(357,528,789) = ( 357 × 528 × 789 ) / 9

LCM(357,528,789) = 148723344 / 9

LCM(357,528,789) = 16524816


Lets's calculate GCF of 743,760,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16524816/1

Therefore the LCM of Fractions 357/743,528/760,789/366 is 16524816

Greatest Common Factor of 743,760,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,760,366 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 743,760,366 . The biggest common factor number is the GCF number.
So the greatest common factor 743,760,366 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 357/743, 528/760, 789/366

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 357/743, 528/760, 789/366?

Answer: LCM of Numerators as per given numbers 357/743, 528/760, 789/366 is

LCM of Numerators i.e. for 357,528,789 is 16524816

GCF of denominators i.e. for 743,760,366 is 1.

Thus, LCM of Fractions is 16524816.Finally, LCM of Fractions for 357/743, 528/760, 789/366 is 16524816.