Least Common Multiple of 709/81, 456/22, 320/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/81, 456/22, 320/600 quickly i.e. 12932160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/81, 456/22, 320/600 is 12932160.

LCM(709/81, 456/22, 320/600) = 12932160

LCM of 709/81, 456/22, 320/600

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 709/81,456/22,320/600

Given numbers are 709/81,456/22,320/600

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 709,456,320

Least Common Multiple of Numerators i.e. LCM of 709,456,320 is 12932160.

GCF of Denominators means GCF of 81,22,600 as per the given fractions.

GCF of 81,22,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,456,320

LCM of Fractions 709/81,456/22,320/600 is 12932160

2 709, 456, 320
2 709, 228, 160
2 709, 114, 80
709, 57, 40

∴ So the LCM of the given numbers is 2 x 2 x 2 x 709 x 57 x 40 = 12932160

Least Common Multiple of 709,456,320 with GCF Formula

Least Common Multiple of 709,456,320 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 709,456,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,456,320) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(709,456,320) x common factors =1 x 8 = 8

LCM(709,456,320) = ( 709 × 456 × 320 ) / 8

LCM(709,456,320) = 103457280 / 8

LCM(709,456,320) = 12932160


Lets's calculate GCF of 81,22,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12932160/1

Therefore the LCM of Fractions 709/81,456/22,320/600 is 12932160

Greatest Common Factor of 81,22,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,22,600 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 81,22,600 . The biggest common factor number is the GCF number.
So the greatest common factor 81,22,600 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 709/81, 456/22, 320/600

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 709/81, 456/22, 320/600?

Answer: LCM of Numerators as per given numbers 709/81, 456/22, 320/600 is

LCM of Numerators i.e. for 709,456,320 is 12932160

GCF of denominators i.e. for 81,22,600 is 1.

Thus, LCM of Fractions is 12932160.Finally, LCM of Fractions for 709/81, 456/22, 320/600 is 12932160.