Least Common Multiple of 64/468, 1167/8342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/468, 1167/8342 quickly i.e. 37344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/468, 1167/8342 is 37344.

LCM(64/468, 1167/8342) = 37344

LCM of 64/468, 1167/8342

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 64/468,1167/8342

Given numbers are 64/468,1167/8342

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 64,1167

Least Common Multiple of Numerators i.e. LCM of 64,1167 is 74688.

GCF of Denominators means GCF of 468,8342 as per the given fractions.

GCF of 468,8342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,1167

LCM of Fractions 64/468,1167/8342 is 37344

Given numbers has no common factors except 1. So, there LCM is their product i.e 74688

Least Common Multiple of 64,1167 with GCF Formula

Least Common Multiple of 64,1167 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 64,1167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,1167) = 1

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

GCF(64,1167) x common factors =1 x 1 = 1

LCM(64,1167) = ( 64 × 1167 ) / 1

LCM(64,1167) = 74688 / 1

LCM(64,1167) = 74688


Lets's calculate GCF of 468,8342

2 468, 8342
234, 4171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74688/2

Therefore the LCM of Fractions 64/468,1167/8342 is 37344

Greatest Common Factor of 468,8342 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8342 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1,2,43,86,97,194,4171,8342

Greatest Common Factor

We found the factors 468,8342 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8342 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 64/468, 1167/8342

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 64/468, 1167/8342?

Answer: LCM of Numerators as per given numbers 64/468, 1167/8342 is

LCM of Numerators i.e. for 64,1167 is 74688

GCF of denominators i.e. for 468,8342 is 2.

Thus, LCM of Fractions is 37344.Finally, LCM of Fractions for 64/468, 1167/8342 is 37344.