Least Common Multiple of 311/52, 834/6324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/52, 834/6324 quickly i.e. 259374/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/52, 834/6324 is 259374/4.

LCM(311/52, 834/6324) = 259374/4

LCM of 311/52, 834/6324

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 311/52,834/6324

Given numbers are 311/52,834/6324

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 311,834

Least Common Multiple of Numerators i.e. LCM of 311,834 is 259374.

GCF of Denominators means GCF of 52,6324 as per the given fractions.

GCF of 52,6324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,834

LCM of Fractions 311/52,834/6324 is 259374/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 259374

Least Common Multiple of 311,834 with GCF Formula

Least Common Multiple of 311,834 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 311,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,834) = 1

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

GCF(311,834) x common factors =1 x 1 = 1

LCM(311,834) = ( 311 × 834 ) / 1

LCM(311,834) = 259374 / 1

LCM(311,834) = 259374


Lets's calculate GCF of 52,6324

2 52, 6324
2 26, 3162
13, 1581

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259374/4

Therefore the LCM of Fractions 311/52,834/6324 is 259374/4

Greatest Common Factor of 52,6324 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,6324 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324

Greatest Common Factor

We found the factors 52,6324 . The biggest common factor number is the GCF number.
So the greatest common factor 52,6324 is 4.


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 311/52, 834/6324

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 311/52, 834/6324?

Answer: LCM of Numerators as per given numbers 311/52, 834/6324 is

LCM of Numerators i.e. for 311,834 is 259374

GCF of denominators i.e. for 52,6324 is 4.

Thus, LCM of Fractions is 259374/4.Finally, LCM of Fractions for 311/52, 834/6324 is 259374/4.