Least Common Multiple of 67/827, 761/490, 813/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/827, 761/490, 813/519 quickly i.e. 41452431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/827, 761/490, 813/519 is 41452431.

LCM(67/827, 761/490, 813/519) = 41452431

LCM of 67/827, 761/490, 813/519

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 67/827,761/490,813/519

Given numbers are 67/827,761/490,813/519

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 67,761,813

Least Common Multiple of Numerators i.e. LCM of 67,761,813 is 41452431.

GCF of Denominators means GCF of 827,490,519 as per the given fractions.

GCF of 827,490,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,761,813

LCM of Fractions 67/827,761/490,813/519 is 41452431

Given numbers has no common factors except 1. So, there LCM is their product i.e 41452431

Least Common Multiple of 67,761,813 with GCF Formula

Least Common Multiple of 67,761,813 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 67,761,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,761,813) = 1

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

GCF(67,761,813) x common factors =1 x 1 = 1

LCM(67,761,813) = ( 67 × 761 × 813 ) / 1

LCM(67,761,813) = 41452431 / 1

LCM(67,761,813) = 41452431


Lets's calculate GCF of 827,490,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41452431/1

Therefore the LCM of Fractions 67/827,761/490,813/519 is 41452431

Greatest Common Factor of 827,490,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,490,519 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 827,490,519 . The biggest common factor number is the GCF number.
So the greatest common factor 827,490,519 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 67/827, 761/490, 813/519

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 67/827, 761/490, 813/519?

Answer: LCM of Numerators as per given numbers 67/827, 761/490, 813/519 is

LCM of Numerators i.e. for 67,761,813 is 41452431

GCF of denominators i.e. for 827,490,519 is 1.

Thus, LCM of Fractions is 41452431.Finally, LCM of Fractions for 67/827, 761/490, 813/519 is 41452431.