Least Common Multiple of 820/929, 494/895, 774/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/929, 494/895, 774/403 quickly i.e. 78382980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/929, 494/895, 774/403 is 78382980.

LCM(820/929, 494/895, 774/403) = 78382980

LCM of 820/929, 494/895, 774/403

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 820/929,494/895,774/403

Given numbers are 820/929,494/895,774/403

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 820,494,774

Least Common Multiple of Numerators i.e. LCM of 820,494,774 is 78382980.

GCF of Denominators means GCF of 929,895,403 as per the given fractions.

GCF of 929,895,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,494,774

LCM of Fractions 820/929,494/895,774/403 is 78382980

2 820, 494, 774
410, 247, 387

∴ So the LCM of the given numbers is 2 x 410 x 247 x 387 = 78382980

Least Common Multiple of 820,494,774 with GCF Formula

Least Common Multiple of 820,494,774 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 820,494,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,494,774) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(820,494,774) x common factors =2 x 2 = 4

LCM(820,494,774) = ( 820 × 494 × 774 ) / 4

LCM(820,494,774) = 313531920 / 4

LCM(820,494,774) = 78382980


Lets's calculate GCF of 929,895,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78382980/1

Therefore the LCM of Fractions 820/929,494/895,774/403 is 78382980

Greatest Common Factor of 929,895,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,895,403 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 929,895,403 . The biggest common factor number is the GCF number.
So the greatest common factor 929,895,403 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 820/929, 494/895, 774/403

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 820/929, 494/895, 774/403?

Answer: LCM of Numerators as per given numbers 820/929, 494/895, 774/403 is

LCM of Numerators i.e. for 820,494,774 is 78382980

GCF of denominators i.e. for 929,895,403 is 1.

Thus, LCM of Fractions is 78382980.Finally, LCM of Fractions for 820/929, 494/895, 774/403 is 78382980.