Least Common Multiple of 6474/507, 1168/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6474/507, 1168/315 quickly i.e. 1260272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6474/507, 1168/315 is 1260272.

LCM(6474/507, 1168/315) = 1260272

LCM of 6474/507, 1168/315

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 6474/507,1168/315

Given numbers are 6474/507,1168/315

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 6474,1168

Least Common Multiple of Numerators i.e. LCM of 6474,1168 is 3780816.

GCF of Denominators means GCF of 507,315 as per the given fractions.

GCF of 507,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6474,1168

LCM of Fractions 6474/507,1168/315 is 1260272

2 6474, 1168
3237, 584

∴ So the LCM of the given numbers is 2 x 3237 x 584 = 3780816

Least Common Multiple of 6474,1168 with GCF Formula

Least Common Multiple of 6474,1168 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 6474,1168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6474,1168) = 2

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

GCF(6474,1168) x common factors =2 x 1 = 2

LCM(6474,1168) = ( 6474 × 1168 ) / 2

LCM(6474,1168) = 7561632 / 2

LCM(6474,1168) = 3780816


Lets's calculate GCF of 507,315

3 507, 315
169, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3780816/3

Therefore the LCM of Fractions 6474/507,1168/315 is 1260272

Greatest Common Factor of 507,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,315 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 507,315 . The biggest common factor number is the GCF number.
So the greatest common factor 507,315 is 3.


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 6474/507, 1168/315

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 6474/507, 1168/315?

Answer: LCM of Numerators as per given numbers 6474/507, 1168/315 is

LCM of Numerators i.e. for 6474,1168 is 3780816

GCF of denominators i.e. for 507,315 is 3.

Thus, LCM of Fractions is 1260272.Finally, LCM of Fractions for 6474/507, 1168/315 is 1260272.