Least Common Multiple of 829/567, 473/493, 486/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/567, 473/493, 486/920 quickly i.e. 190568862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/567, 473/493, 486/920 is 190568862.

LCM(829/567, 473/493, 486/920) = 190568862

LCM of 829/567, 473/493, 486/920

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 829/567,473/493,486/920

Given numbers are 829/567,473/493,486/920

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 829,473,486

Least Common Multiple of Numerators i.e. LCM of 829,473,486 is 190568862.

GCF of Denominators means GCF of 567,493,920 as per the given fractions.

GCF of 567,493,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,473,486

LCM of Fractions 829/567,473/493,486/920 is 190568862

Given numbers has no common factors except 1. So, there LCM is their product i.e 190568862

Least Common Multiple of 829,473,486 with GCF Formula

Least Common Multiple of 829,473,486 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 829,473,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,473,486) = 1

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

GCF(829,473,486) x common factors =1 x 1 = 1

LCM(829,473,486) = ( 829 × 473 × 486 ) / 1

LCM(829,473,486) = 190568862 / 1

LCM(829,473,486) = 190568862


Lets's calculate GCF of 567,493,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190568862/1

Therefore the LCM of Fractions 829/567,473/493,486/920 is 190568862

Greatest Common Factor of 567,493,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,493,920 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 567,493,920 . The biggest common factor number is the GCF number.
So the greatest common factor 567,493,920 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 829/567, 473/493, 486/920

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 829/567, 473/493, 486/920?

Answer: LCM of Numerators as per given numbers 829/567, 473/493, 486/920 is

LCM of Numerators i.e. for 829,473,486 is 190568862

GCF of denominators i.e. for 567,493,920 is 1.

Thus, LCM of Fractions is 190568862.Finally, LCM of Fractions for 829/567, 473/493, 486/920 is 190568862.