Least Common Multiple of 490/345, 508/891, 633/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/345, 508/891, 633/289 quickly i.e. 78783180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/345, 508/891, 633/289 is 78783180.

LCM(490/345, 508/891, 633/289) = 78783180

LCM of 490/345, 508/891, 633/289

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 490/345,508/891,633/289

Given numbers are 490/345,508/891,633/289

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 490,508,633

Least Common Multiple of Numerators i.e. LCM of 490,508,633 is 78783180.

GCF of Denominators means GCF of 345,891,289 as per the given fractions.

GCF of 345,891,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,508,633

LCM of Fractions 490/345,508/891,633/289 is 78783180

2 490, 508, 633
245, 254, 633

∴ So the LCM of the given numbers is 2 x 245 x 254 x 633 = 78783180

Least Common Multiple of 490,508,633 with GCF Formula

Least Common Multiple of 490,508,633 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 490,508,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,508,633) = 1

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

GCF(490,508,633) x common factors =1 x 2 = 2

LCM(490,508,633) = ( 490 × 508 × 633 ) / 2

LCM(490,508,633) = 157566360 / 2

LCM(490,508,633) = 78783180


Lets's calculate GCF of 345,891,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78783180/1

Therefore the LCM of Fractions 490/345,508/891,633/289 is 78783180

Greatest Common Factor of 345,891,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,891,289 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 345,891,289 . The biggest common factor number is the GCF number.
So the greatest common factor 345,891,289 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 490/345, 508/891, 633/289

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 490/345, 508/891, 633/289?

Answer: LCM of Numerators as per given numbers 490/345, 508/891, 633/289 is

LCM of Numerators i.e. for 490,508,633 is 78783180

GCF of denominators i.e. for 345,891,289 is 1.

Thus, LCM of Fractions is 78783180.Finally, LCM of Fractions for 490/345, 508/891, 633/289 is 78783180.