Least Common Multiple of 342/87, 622/53, 928/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/87, 622/53, 928/836 quickly i.e. 49351968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/87, 622/53, 928/836 is 49351968.

LCM(342/87, 622/53, 928/836) = 49351968

LCM of 342/87, 622/53, 928/836

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 342/87,622/53,928/836

Given numbers are 342/87,622/53,928/836

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 342,622,928

Least Common Multiple of Numerators i.e. LCM of 342,622,928 is 49351968.

GCF of Denominators means GCF of 87,53,836 as per the given fractions.

GCF of 87,53,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,622,928

LCM of Fractions 342/87,622/53,928/836 is 49351968

2 342, 622, 928
171, 311, 464

∴ So the LCM of the given numbers is 2 x 171 x 311 x 464 = 49351968

Least Common Multiple of 342,622,928 with GCF Formula

Least Common Multiple of 342,622,928 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 342,622,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,622,928) = 2

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

GCF(342,622,928) x common factors =2 x 2 = 4

LCM(342,622,928) = ( 342 × 622 × 928 ) / 4

LCM(342,622,928) = 197407872 / 4

LCM(342,622,928) = 49351968


Lets's calculate GCF of 87,53,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49351968/1

Therefore the LCM of Fractions 342/87,622/53,928/836 is 49351968

Greatest Common Factor of 87,53,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,53,836 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 87,53,836 . The biggest common factor number is the GCF number.
So the greatest common factor 87,53,836 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 342/87, 622/53, 928/836

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 342/87, 622/53, 928/836?

Answer: LCM of Numerators as per given numbers 342/87, 622/53, 928/836 is

LCM of Numerators i.e. for 342,622,928 is 49351968

GCF of denominators i.e. for 87,53,836 is 1.

Thus, LCM of Fractions is 49351968.Finally, LCM of Fractions for 342/87, 622/53, 928/836 is 49351968.