Least Common Multiple of 906/64, 342/39, 159/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/64, 342/39, 159/335 quickly i.e. 2737026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/64, 342/39, 159/335 is 2737026.

LCM(906/64, 342/39, 159/335) = 2737026

LCM of 906/64, 342/39, 159/335

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 906/64,342/39,159/335

Given numbers are 906/64,342/39,159/335

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 906,342,159

Least Common Multiple of Numerators i.e. LCM of 906,342,159 is 2737026.

GCF of Denominators means GCF of 64,39,335 as per the given fractions.

GCF of 64,39,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,342,159

LCM of Fractions 906/64,342/39,159/335 is 2737026

2 906, 342, 159
3 453, 171, 159
151, 57, 53

∴ So the LCM of the given numbers is 2 x 3 x 151 x 57 x 53 = 2737026

Least Common Multiple of 906,342,159 with GCF Formula

Least Common Multiple of 906,342,159 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 906,342,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,342,159) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(906,342,159) x common factors =3 x 6 = 18

LCM(906,342,159) = ( 906 × 342 × 159 ) / 18

LCM(906,342,159) = 49266468 / 18

LCM(906,342,159) = 2737026


Lets's calculate GCF of 64,39,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2737026/1

Therefore the LCM of Fractions 906/64,342/39,159/335 is 2737026

Greatest Common Factor of 64,39,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,39,335 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 64,39,335 . The biggest common factor number is the GCF number.
So the greatest common factor 64,39,335 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 906/64, 342/39, 159/335

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 906/64, 342/39, 159/335?

Answer: LCM of Numerators as per given numbers 906/64, 342/39, 159/335 is

LCM of Numerators i.e. for 906,342,159 is 2737026

GCF of denominators i.e. for 64,39,335 is 1.

Thus, LCM of Fractions is 2737026.Finally, LCM of Fractions for 906/64, 342/39, 159/335 is 2737026.