Least Common Multiple of 142/950, 171/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 142/950, 171/577 quickly i.e. 24282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/950, 171/577 is 24282.

LCM(142/950, 171/577) = 24282

LCM of 142/950, 171/577

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 142/950,171/577

Given numbers are 142/950,171/577

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 142,171

Least Common Multiple of Numerators i.e. LCM of 142,171 is 24282.

GCF of Denominators means GCF of 950,577 as per the given fractions.

GCF of 950,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,171

LCM of Fractions 142/950,171/577 is 24282

Given numbers has no common factors except 1. So, there LCM is their product i.e 24282

Least Common Multiple of 142,171 with GCF Formula

Least Common Multiple of 142,171 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 142,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,171) = 1

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

GCF(142,171) x common factors =1 x 1 = 1

LCM(142,171) = ( 142 × 171 ) / 1

LCM(142,171) = 24282 / 1

LCM(142,171) = 24282


Lets's calculate GCF of 950,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24282/1

Therefore the LCM of Fractions 142/950,171/577 is 24282

Greatest Common Factor of 950,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,577 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 950,577 . The biggest common factor number is the GCF number.
So the greatest common factor 950,577 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 142/950, 171/577

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 142/950, 171/577?

Answer: LCM of Numerators as per given numbers 142/950, 171/577 is

LCM of Numerators i.e. for 142,171 is 24282

GCF of denominators i.e. for 950,577 is 1.

Thus, LCM of Fractions is 24282.Finally, LCM of Fractions for 142/950, 171/577 is 24282.