Least Common Multiple of 262/35, 158/77, 157/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 262/35, 158/77, 157/524 quickly i.e. 3249586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 262/35, 158/77, 157/524 is 3249586.

LCM(262/35, 158/77, 157/524) = 3249586

LCM of 262/35, 158/77, 157/524

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 262/35,158/77,157/524

Given numbers are 262/35,158/77,157/524

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 262,158,157

Least Common Multiple of Numerators i.e. LCM of 262,158,157 is 3249586.

GCF of Denominators means GCF of 35,77,524 as per the given fractions.

GCF of 35,77,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 262,158,157

LCM of Fractions 262/35,158/77,157/524 is 3249586

2 262, 158, 157
131, 79, 157

∴ So the LCM of the given numbers is 2 x 131 x 79 x 157 = 3249586

Least Common Multiple of 262,158,157 with GCF Formula

Least Common Multiple of 262,158,157 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 262,158,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,158,157) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(262,158,157) x common factors =1 x 2 = 2

LCM(262,158,157) = ( 262 × 158 × 157 ) / 2

LCM(262,158,157) = 6499172 / 2

LCM(262,158,157) = 3249586


Lets's calculate GCF of 35,77,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3249586/1

Therefore the LCM of Fractions 262/35,158/77,157/524 is 3249586

Greatest Common Factor of 35,77,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,77,524 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 35,77,524 . The biggest common factor number is the GCF number.
So the greatest common factor 35,77,524 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 262/35, 158/77, 157/524

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 262/35, 158/77, 157/524?

Answer: LCM of Numerators as per given numbers 262/35, 158/77, 157/524 is

LCM of Numerators i.e. for 262,158,157 is 3249586

GCF of denominators i.e. for 35,77,524 is 1.

Thus, LCM of Fractions is 3249586.Finally, LCM of Fractions for 262/35, 158/77, 157/524 is 3249586.