Least Common Multiple of 2749/766, 1808/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2749/766, 1808/988 quickly i.e. 2485096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2749/766, 1808/988 is 2485096.

LCM(2749/766, 1808/988) = 2485096

LCM of 2749/766, 1808/988

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 2749/766,1808/988

Given numbers are 2749/766,1808/988

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 2749,1808

Least Common Multiple of Numerators i.e. LCM of 2749,1808 is 4970192.

GCF of Denominators means GCF of 766,988 as per the given fractions.

GCF of 766,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2749,1808

LCM of Fractions 2749/766,1808/988 is 2485096

Given numbers has no common factors except 1. So, there LCM is their product i.e 4970192

Least Common Multiple of 2749,1808 with GCF Formula

Least Common Multiple of 2749,1808 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 2749,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2749,1808) = 1

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

GCF(2749,1808) x common factors =1 x 1 = 1

LCM(2749,1808) = ( 2749 × 1808 ) / 1

LCM(2749,1808) = 4970192 / 1

LCM(2749,1808) = 4970192


Lets's calculate GCF of 766,988

2 766, 988
383, 494

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4970192/2

Therefore the LCM of Fractions 2749/766,1808/988 is 2485096

Greatest Common Factor of 766,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,988 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 766,988 . The biggest common factor number is the GCF number.
So the greatest common factor 766,988 is 2.


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 2749/766, 1808/988

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 2749/766, 1808/988?

Answer: LCM of Numerators as per given numbers 2749/766, 1808/988 is

LCM of Numerators i.e. for 2749,1808 is 4970192

GCF of denominators i.e. for 766,988 is 2.

Thus, LCM of Fractions is 2485096.Finally, LCM of Fractions for 2749/766, 1808/988 is 2485096.