Least Common Multiple of 101/42, 677/82, 320/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/42, 677/82, 320/828 quickly i.e. 10940320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/42, 677/82, 320/828 is 10940320.

LCM(101/42, 677/82, 320/828) = 10940320

LCM of 101/42, 677/82, 320/828

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 101/42,677/82,320/828

Given numbers are 101/42,677/82,320/828

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 101,677,320

Least Common Multiple of Numerators i.e. LCM of 101,677,320 is 21880640.

GCF of Denominators means GCF of 42,82,828 as per the given fractions.

GCF of 42,82,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,677,320

LCM of Fractions 101/42,677/82,320/828 is 10940320

Given numbers has no common factors except 1. So, there LCM is their product i.e 21880640

Least Common Multiple of 101,677,320 with GCF Formula

Least Common Multiple of 101,677,320 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 101,677,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,677,320) = 1

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

GCF(101,677,320) x common factors =1 x 1 = 1

LCM(101,677,320) = ( 101 × 677 × 320 ) / 1

LCM(101,677,320) = 21880640 / 1

LCM(101,677,320) = 21880640


Lets's calculate GCF of 42,82,828

2 42, 82, 828
21, 41, 414

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21880640/2

Therefore the LCM of Fractions 101/42,677/82,320/828 is 10940320

Greatest Common Factor of 42,82,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,82,828 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 42,82,828 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,828 is 2.


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 101/42, 677/82, 320/828

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 101/42, 677/82, 320/828?

Answer: LCM of Numerators as per given numbers 101/42, 677/82, 320/828 is

LCM of Numerators i.e. for 101,677,320 is 21880640

GCF of denominators i.e. for 42,82,828 is 2.

Thus, LCM of Fractions is 10940320.Finally, LCM of Fractions for 101/42, 677/82, 320/828 is 10940320.