Least Common Multiple of 210/469, 517/767, 118/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/469, 517/767, 118/863 quickly i.e. 6405630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/469, 517/767, 118/863 is 6405630.

LCM(210/469, 517/767, 118/863) = 6405630

LCM of 210/469, 517/767, 118/863

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 210/469,517/767,118/863

Given numbers are 210/469,517/767,118/863

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 210,517,118

Least Common Multiple of Numerators i.e. LCM of 210,517,118 is 6405630.

GCF of Denominators means GCF of 469,767,863 as per the given fractions.

GCF of 469,767,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,517,118

LCM of Fractions 210/469,517/767,118/863 is 6405630

2 210, 517, 118
105, 517, 59

∴ So the LCM of the given numbers is 2 x 105 x 517 x 59 = 6405630

Least Common Multiple of 210,517,118 with GCF Formula

Least Common Multiple of 210,517,118 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 210,517,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,517,118) = 1

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

GCF(210,517,118) x common factors =1 x 2 = 2

LCM(210,517,118) = ( 210 × 517 × 118 ) / 2

LCM(210,517,118) = 12811260 / 2

LCM(210,517,118) = 6405630


Lets's calculate GCF of 469,767,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6405630/1

Therefore the LCM of Fractions 210/469,517/767,118/863 is 6405630

Greatest Common Factor of 469,767,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,767,863 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 469,767,863 . The biggest common factor number is the GCF number.
So the greatest common factor 469,767,863 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 210/469, 517/767, 118/863

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 210/469, 517/767, 118/863?

Answer: LCM of Numerators as per given numbers 210/469, 517/767, 118/863 is

LCM of Numerators i.e. for 210,517,118 is 6405630

GCF of denominators i.e. for 469,767,863 is 1.

Thus, LCM of Fractions is 6405630.Finally, LCM of Fractions for 210/469, 517/767, 118/863 is 6405630.