Least Common Multiple of 142/40, 906/4171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/40, 906/4171 quickly i.e. 64326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/40, 906/4171 is 64326.

LCM(142/40, 906/4171) = 64326

LCM of 142/40, 906/4171

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 142/40,906/4171

Given numbers are 142/40,906/4171

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 142,906

Least Common Multiple of Numerators i.e. LCM of 142,906 is 64326.

GCF of Denominators means GCF of 40,4171 as per the given fractions.

GCF of 40,4171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,906

LCM of Fractions 142/40,906/4171 is 64326

2 142, 906
71, 453

∴ So the LCM of the given numbers is 2 x 71 x 453 = 64326

Least Common Multiple of 142,906 with GCF Formula

Least Common Multiple of 142,906 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 142,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,906) = 2

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

GCF(142,906) x common factors =2 x 1 = 2

LCM(142,906) = ( 142 × 906 ) / 2

LCM(142,906) = 128652 / 2

LCM(142,906) = 64326


Lets's calculate GCF of 40,4171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64326/1

Therefore the LCM of Fractions 142/40,906/4171 is 64326

Greatest Common Factor of 40,4171 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4171 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4171

List of positive integer factors of 4171 that divides 4171 without a remainder.

1,43,97,4171

Greatest Common Factor

We found the factors 40,4171 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4171 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 142/40, 906/4171

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 142/40, 906/4171?

Answer: LCM of Numerators as per given numbers 142/40, 906/4171 is

LCM of Numerators i.e. for 142,906 is 64326

GCF of denominators i.e. for 40,4171 is 1.

Thus, LCM of Fractions is 64326.Finally, LCM of Fractions for 142/40, 906/4171 is 64326.