Least Common Multiple of 77/528, 20/337, 163/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/528, 20/337, 163/414 quickly i.e. 251020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/528, 20/337, 163/414 is 251020.

LCM(77/528, 20/337, 163/414) = 251020

LCM of 77/528, 20/337, 163/414

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 77/528,20/337,163/414

Given numbers are 77/528,20/337,163/414

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 77,20,163

Least Common Multiple of Numerators i.e. LCM of 77,20,163 is 251020.

GCF of Denominators means GCF of 528,337,414 as per the given fractions.

GCF of 528,337,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,20,163

LCM of Fractions 77/528,20/337,163/414 is 251020

Given numbers has no common factors except 1. So, there LCM is their product i.e 251020

Least Common Multiple of 77,20,163 with GCF Formula

Least Common Multiple of 77,20,163 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 77,20,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,20,163) = 1

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

GCF(77,20,163) x common factors =1 x 1 = 1

LCM(77,20,163) = ( 77 × 20 × 163 ) / 1

LCM(77,20,163) = 251020 / 1

LCM(77,20,163) = 251020


Lets's calculate GCF of 528,337,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251020/1

Therefore the LCM of Fractions 77/528,20/337,163/414 is 251020

Greatest Common Factor of 528,337,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,337,414 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 528,337,414 . The biggest common factor number is the GCF number.
So the greatest common factor 528,337,414 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 77/528, 20/337, 163/414

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 77/528, 20/337, 163/414?

Answer: LCM of Numerators as per given numbers 77/528, 20/337, 163/414 is

LCM of Numerators i.e. for 77,20,163 is 251020

GCF of denominators i.e. for 528,337,414 is 1.

Thus, LCM of Fractions is 251020.Finally, LCM of Fractions for 77/528, 20/337, 163/414 is 251020.