Least Common Multiple of 72/953, 764/24, 788/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/953, 764/24, 788/578 quickly i.e. 2709144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/953, 764/24, 788/578 is 2709144.

LCM(72/953, 764/24, 788/578) = 2709144

LCM of 72/953, 764/24, 788/578

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 72/953,764/24,788/578

Given numbers are 72/953,764/24,788/578

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 72,764,788

Least Common Multiple of Numerators i.e. LCM of 72,764,788 is 2709144.

GCF of Denominators means GCF of 953,24,578 as per the given fractions.

GCF of 953,24,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,764,788

LCM of Fractions 72/953,764/24,788/578 is 2709144

2 72, 764, 788
2 36, 382, 394
18, 191, 197

∴ So the LCM of the given numbers is 2 x 2 x 18 x 191 x 197 = 2709144

Least Common Multiple of 72,764,788 with GCF Formula

Least Common Multiple of 72,764,788 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 72,764,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,764,788) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(72,764,788) x common factors =4 x 4 = 16

LCM(72,764,788) = ( 72 × 764 × 788 ) / 16

LCM(72,764,788) = 43346304 / 16

LCM(72,764,788) = 2709144


Lets's calculate GCF of 953,24,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2709144/1

Therefore the LCM of Fractions 72/953,764/24,788/578 is 2709144

Greatest Common Factor of 953,24,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,24,578 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 953,24,578 . The biggest common factor number is the GCF number.
So the greatest common factor 953,24,578 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 72/953, 764/24, 788/578

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 72/953, 764/24, 788/578?

Answer: LCM of Numerators as per given numbers 72/953, 764/24, 788/578 is

LCM of Numerators i.e. for 72,764,788 is 2709144

GCF of denominators i.e. for 953,24,578 is 1.

Thus, LCM of Fractions is 2709144.Finally, LCM of Fractions for 72/953, 764/24, 788/578 is 2709144.