Least Common Multiple of 143/82, 750/81, 971/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/82, 750/81, 971/640 quickly i.e. 104139750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/82, 750/81, 971/640 is 104139750.

LCM(143/82, 750/81, 971/640) = 104139750

LCM of 143/82, 750/81, 971/640

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 143/82,750/81,971/640

Given numbers are 143/82,750/81,971/640

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 143,750,971

Least Common Multiple of Numerators i.e. LCM of 143,750,971 is 104139750.

GCF of Denominators means GCF of 82,81,640 as per the given fractions.

GCF of 82,81,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,750,971

LCM of Fractions 143/82,750/81,971/640 is 104139750

Given numbers has no common factors except 1. So, there LCM is their product i.e 104139750

Least Common Multiple of 143,750,971 with GCF Formula

Least Common Multiple of 143,750,971 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 143,750,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,750,971) = 1

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

GCF(143,750,971) x common factors =1 x 1 = 1

LCM(143,750,971) = ( 143 × 750 × 971 ) / 1

LCM(143,750,971) = 104139750 / 1

LCM(143,750,971) = 104139750


Lets's calculate GCF of 82,81,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104139750/1

Therefore the LCM of Fractions 143/82,750/81,971/640 is 104139750

Greatest Common Factor of 82,81,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,81,640 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 81

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

1,3,9,27,81

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 82,81,640 . The biggest common factor number is the GCF number.
So the greatest common factor 82,81,640 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 143/82, 750/81, 971/640

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 143/82, 750/81, 971/640?

Answer: LCM of Numerators as per given numbers 143/82, 750/81, 971/640 is

LCM of Numerators i.e. for 143,750,971 is 104139750

GCF of denominators i.e. for 82,81,640 is 1.

Thus, LCM of Fractions is 104139750.Finally, LCM of Fractions for 143/82, 750/81, 971/640 is 104139750.