Least Common Multiple of 513/813, 5453/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/813, 5453/758 quickly i.e. 147231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/813, 5453/758 is 147231.

LCM(513/813, 5453/758) = 147231

LCM of 513/813, 5453/758

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 513/813,5453/758

Given numbers are 513/813,5453/758

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 513,5453

Least Common Multiple of Numerators i.e. LCM of 513,5453 is 147231.

GCF of Denominators means GCF of 813,758 as per the given fractions.

GCF of 813,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,5453

LCM of Fractions 513/813,5453/758 is 147231

19 513, 5453
27, 287

∴ So the LCM of the given numbers is 19 x 27 x 287 = 147231

Least Common Multiple of 513,5453 with GCF Formula

Least Common Multiple of 513,5453 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 513,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,5453) = 19

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

GCF(513,5453) x common factors =19 x 1 = 19

LCM(513,5453) = ( 513 × 5453 ) / 19

LCM(513,5453) = 2797389 / 19

LCM(513,5453) = 147231


Lets's calculate GCF of 813,758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147231/1

Therefore the LCM of Fractions 513/813,5453/758 is 147231

Greatest Common Factor of 813,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,758 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 813,758 . The biggest common factor number is the GCF number.
So the greatest common factor 813,758 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 513/813, 5453/758

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 513/813, 5453/758?

Answer: LCM of Numerators as per given numbers 513/813, 5453/758 is

LCM of Numerators i.e. for 513,5453 is 147231

GCF of denominators i.e. for 813,758 is 1.

Thus, LCM of Fractions is 147231.Finally, LCM of Fractions for 513/813, 5453/758 is 147231.