Least Common Multiple of 286/716, 820/989, 829/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/716, 820/989, 829/432 quickly i.e. 97208540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/716, 820/989, 829/432 is 97208540.

LCM(286/716, 820/989, 829/432) = 97208540

LCM of 286/716, 820/989, 829/432

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 286/716,820/989,829/432

Given numbers are 286/716,820/989,829/432

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 286,820,829

Least Common Multiple of Numerators i.e. LCM of 286,820,829 is 97208540.

GCF of Denominators means GCF of 716,989,432 as per the given fractions.

GCF of 716,989,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,820,829

LCM of Fractions 286/716,820/989,829/432 is 97208540

2 286, 820, 829
143, 410, 829

∴ So the LCM of the given numbers is 2 x 143 x 410 x 829 = 97208540

Least Common Multiple of 286,820,829 with GCF Formula

Least Common Multiple of 286,820,829 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 286,820,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,820,829) = 1

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

GCF(286,820,829) x common factors =1 x 2 = 2

LCM(286,820,829) = ( 286 × 820 × 829 ) / 2

LCM(286,820,829) = 194417080 / 2

LCM(286,820,829) = 97208540


Lets's calculate GCF of 716,989,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97208540/1

Therefore the LCM of Fractions 286/716,820/989,829/432 is 97208540

Greatest Common Factor of 716,989,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,989,432 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 716,989,432 . The biggest common factor number is the GCF number.
So the greatest common factor 716,989,432 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 286/716, 820/989, 829/432

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 286/716, 820/989, 829/432?

Answer: LCM of Numerators as per given numbers 286/716, 820/989, 829/432 is

LCM of Numerators i.e. for 286,820,829 is 97208540

GCF of denominators i.e. for 716,989,432 is 1.

Thus, LCM of Fractions is 97208540.Finally, LCM of Fractions for 286/716, 820/989, 829/432 is 97208540.