Least Common Multiple of 46/249, 212/838, 979/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/249, 212/838, 979/290 quickly i.e. 4773604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/249, 212/838, 979/290 is 4773604.

LCM(46/249, 212/838, 979/290) = 4773604

LCM of 46/249, 212/838, 979/290

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 46/249,212/838,979/290

Given numbers are 46/249,212/838,979/290

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 46,212,979

Least Common Multiple of Numerators i.e. LCM of 46,212,979 is 4773604.

GCF of Denominators means GCF of 249,838,290 as per the given fractions.

GCF of 249,838,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,212,979

LCM of Fractions 46/249,212/838,979/290 is 4773604

2 46, 212, 979
23, 106, 979

∴ So the LCM of the given numbers is 2 x 23 x 106 x 979 = 4773604

Least Common Multiple of 46,212,979 with GCF Formula

Least Common Multiple of 46,212,979 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 46,212,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,212,979) = 1

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

GCF(46,212,979) x common factors =1 x 2 = 2

LCM(46,212,979) = ( 46 × 212 × 979 ) / 2

LCM(46,212,979) = 9547208 / 2

LCM(46,212,979) = 4773604


Lets's calculate GCF of 249,838,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4773604/1

Therefore the LCM of Fractions 46/249,212/838,979/290 is 4773604

Greatest Common Factor of 249,838,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,838,290 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 249,838,290 . The biggest common factor number is the GCF number.
So the greatest common factor 249,838,290 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 46/249, 212/838, 979/290

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 46/249, 212/838, 979/290?

Answer: LCM of Numerators as per given numbers 46/249, 212/838, 979/290 is

LCM of Numerators i.e. for 46,212,979 is 4773604

GCF of denominators i.e. for 249,838,290 is 1.

Thus, LCM of Fractions is 4773604.Finally, LCM of Fractions for 46/249, 212/838, 979/290 is 4773604.