Least Common Multiple of 6/313, 28/210, 64/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/313, 28/210, 64/432 quickly i.e. 1344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/313, 28/210, 64/432 is 1344.

LCM(6/313, 28/210, 64/432) = 1344

LCM of 6/313, 28/210, 64/432

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 6/313,28/210,64/432

Given numbers are 6/313,28/210,64/432

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 6,28,64

Least Common Multiple of Numerators i.e. LCM of 6,28,64 is 1344.

GCF of Denominators means GCF of 313,210,432 as per the given fractions.

GCF of 313,210,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,28,64

LCM of Fractions 6/313,28/210,64/432 is 1344

2 6, 28, 64
2 3, 14, 32
3, 7, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 16 = 1344

Least Common Multiple of 6,28,64 with GCF Formula

Least Common Multiple of 6,28,64 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 6,28,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,28,64) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(6,28,64) x common factors =2 x 4 = 8

LCM(6,28,64) = ( 6 × 28 × 64 ) / 8

LCM(6,28,64) = 10752 / 8

LCM(6,28,64) = 1344


Lets's calculate GCF of 313,210,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344/1

Therefore the LCM of Fractions 6/313,28/210,64/432 is 1344

Greatest Common Factor of 313,210,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,210,432 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 313,210,432 . The biggest common factor number is the GCF number.
So the greatest common factor 313,210,432 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 6/313, 28/210, 64/432

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 6/313, 28/210, 64/432?

Answer: LCM of Numerators as per given numbers 6/313, 28/210, 64/432 is

LCM of Numerators i.e. for 6,28,64 is 1344

GCF of denominators i.e. for 313,210,432 is 1.

Thus, LCM of Fractions is 1344.Finally, LCM of Fractions for 6/313, 28/210, 64/432 is 1344.