Least Common Multiple of 4653/531, 6578/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4653/531, 6578/168 quickly i.e. 927498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4653/531, 6578/168 is 927498.

LCM(4653/531, 6578/168) = 927498

LCM of 4653/531, 6578/168

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 4653/531,6578/168

Given numbers are 4653/531,6578/168

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 4653,6578

Least Common Multiple of Numerators i.e. LCM of 4653,6578 is 2782494.

GCF of Denominators means GCF of 531,168 as per the given fractions.

GCF of 531,168 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4653,6578

LCM of Fractions 4653/531,6578/168 is 927498

11 4653, 6578
423, 598

∴ So the LCM of the given numbers is 11 x 423 x 598 = 2782494

Least Common Multiple of 4653,6578 with GCF Formula

Least Common Multiple of 4653,6578 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 4653,6578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4653,6578) = 11

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

GCF(4653,6578) x common factors =11 x 1 = 11

LCM(4653,6578) = ( 4653 × 6578 ) / 11

LCM(4653,6578) = 30607434 / 11

LCM(4653,6578) = 2782494


Lets's calculate GCF of 531,168

3 531, 168
177, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2782494/3

Therefore the LCM of Fractions 4653/531,6578/168 is 927498

Greatest Common Factor of 531,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,168 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 531,168 . The biggest common factor number is the GCF number.
So the greatest common factor 531,168 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 4653/531, 6578/168

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 4653/531, 6578/168?

Answer: LCM of Numerators as per given numbers 4653/531, 6578/168 is

LCM of Numerators i.e. for 4653,6578 is 2782494

GCF of denominators i.e. for 531,168 is 3.

Thus, LCM of Fractions is 927498.Finally, LCM of Fractions for 4653/531, 6578/168 is 927498.