Least Common Multiple of 906/23, 749/2989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/23, 749/2989 quickly i.e. 678594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/23, 749/2989 is 678594.

LCM(906/23, 749/2989) = 678594

LCM of 906/23, 749/2989

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 906/23,749/2989

Given numbers are 906/23,749/2989

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 906,749

Least Common Multiple of Numerators i.e. LCM of 906,749 is 678594.

GCF of Denominators means GCF of 23,2989 as per the given fractions.

GCF of 23,2989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,749

LCM of Fractions 906/23,749/2989 is 678594

Given numbers has no common factors except 1. So, there LCM is their product i.e 678594

Least Common Multiple of 906,749 with GCF Formula

Least Common Multiple of 906,749 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 906,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,749) = 1

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

GCF(906,749) x common factors =1 x 1 = 1

LCM(906,749) = ( 906 × 749 ) / 1

LCM(906,749) = 678594 / 1

LCM(906,749) = 678594


Lets's calculate GCF of 23,2989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678594/1

Therefore the LCM of Fractions 906/23,749/2989 is 678594

Greatest Common Factor of 23,2989 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,2989 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1,7,49,61,427,2989

Greatest Common Factor

We found the factors 23,2989 . The biggest common factor number is the GCF number.
So the greatest common factor 23,2989 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 906/23, 749/2989

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 906/23, 749/2989?

Answer: LCM of Numerators as per given numbers 906/23, 749/2989 is

LCM of Numerators i.e. for 906,749 is 678594

GCF of denominators i.e. for 23,2989 is 1.

Thus, LCM of Fractions is 678594.Finally, LCM of Fractions for 906/23, 749/2989 is 678594.