Least Common Multiple of 89/142, 40/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/142, 40/710 quickly i.e. 3560/142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/142, 40/710 is 3560/142.

LCM(89/142, 40/710) = 3560/142

LCM of 89/142, 40/710

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 89/142,40/710

Given numbers are 89/142,40/710

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 89,40

Least Common Multiple of Numerators i.e. LCM of 89,40 is 3560.

GCF of Denominators means GCF of 142,710 as per the given fractions.

GCF of 142,710 is 142 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,40

LCM of Fractions 89/142,40/710 is 3560/142

Given numbers has no common factors except 1. So, there LCM is their product i.e 3560

Least Common Multiple of 89,40 with GCF Formula

Least Common Multiple of 89,40 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 89,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,40) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,40) x common factors =1 x 1 = 1

LCM(89,40) = ( 89 × 40 ) / 1

LCM(89,40) = 3560 / 1

LCM(89,40) = 3560


Lets's calculate GCF of 142,710

2 142, 710
71 71, 355
1, 5

∴ So the GCF of the given numbers is 2 x 71 = 142

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3560/142

Therefore the LCM of Fractions 89/142,40/710 is 3560/142

Greatest Common Factor of 142,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,710 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 710

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

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

Greatest Common Factor

We found the factors 142,710 . The biggest common factor number is the GCF number.
So the greatest common factor 142,710 is 142.


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 89/142, 40/710

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 89/142, 40/710?

Answer: LCM of Numerators as per given numbers 89/142, 40/710 is

LCM of Numerators i.e. for 89,40 is 3560

GCF of denominators i.e. for 142,710 is 142.

Thus, LCM of Fractions is 3560/142.Finally, LCM of Fractions for 89/142, 40/710 is 3560/142.