Least Common Multiple of 72/710, 78/896, 973/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/710, 78/896, 973/311 quickly i.e. 910728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/710, 78/896, 973/311 is 910728.

LCM(72/710, 78/896, 973/311) = 910728

LCM of 72/710, 78/896, 973/311

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 72/710,78/896,973/311

Given numbers are 72/710,78/896,973/311

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 72,78,973

Least Common Multiple of Numerators i.e. LCM of 72,78,973 is 910728.

GCF of Denominators means GCF of 710,896,311 as per the given fractions.

GCF of 710,896,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,78,973

LCM of Fractions 72/710,78/896,973/311 is 910728

2 72, 78, 973
3 36, 39, 973
12, 13, 973

∴ So the LCM of the given numbers is 2 x 3 x 12 x 13 x 973 = 910728

Least Common Multiple of 72,78,973 with GCF Formula

Least Common Multiple of 72,78,973 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 72,78,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,78,973) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,78,973) x common factors =1 x 6 = 6

LCM(72,78,973) = ( 72 × 78 × 973 ) / 6

LCM(72,78,973) = 5464368 / 6

LCM(72,78,973) = 910728


Lets's calculate GCF of 710,896,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910728/1

Therefore the LCM of Fractions 72/710,78/896,973/311 is 910728

Greatest Common Factor of 710,896,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,896,311 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 710,896,311 . The biggest common factor number is the GCF number.
So the greatest common factor 710,896,311 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 72/710, 78/896, 973/311

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 72/710, 78/896, 973/311?

Answer: LCM of Numerators as per given numbers 72/710, 78/896, 973/311 is

LCM of Numerators i.e. for 72,78,973 is 910728

GCF of denominators i.e. for 710,896,311 is 1.

Thus, LCM of Fractions is 910728.Finally, LCM of Fractions for 72/710, 78/896, 973/311 is 910728.