Least Common Multiple of 2492/249, 6800/1782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2492/249, 6800/1782 quickly i.e. 4236400/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2492/249, 6800/1782 is 4236400/3.

LCM(2492/249, 6800/1782) = 4236400/3

LCM of 2492/249, 6800/1782

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 2492/249,6800/1782

Given numbers are 2492/249,6800/1782

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 2492,6800

Least Common Multiple of Numerators i.e. LCM of 2492,6800 is 4236400.

GCF of Denominators means GCF of 249,1782 as per the given fractions.

GCF of 249,1782 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2492,6800

LCM of Fractions 2492/249,6800/1782 is 4236400/3

2 2492, 6800
2 1246, 3400
623, 1700

∴ So the LCM of the given numbers is 2 x 2 x 623 x 1700 = 4236400

Least Common Multiple of 2492,6800 with GCF Formula

Least Common Multiple of 2492,6800 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 2492,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2492,6800) = 4

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

GCF(2492,6800) x common factors =4 x 1 = 4

LCM(2492,6800) = ( 2492 × 6800 ) / 4

LCM(2492,6800) = 16945600 / 4

LCM(2492,6800) = 4236400


Lets's calculate GCF of 249,1782

3 249, 1782
83, 594

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4236400/3

Therefore the LCM of Fractions 2492/249,6800/1782 is 4236400/3

Greatest Common Factor of 249,1782 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,1782 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 1782

List of positive integer factors of 1782 that divides 1782 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782

Greatest Common Factor

We found the factors 249,1782 . The biggest common factor number is the GCF number.
So the greatest common factor 249,1782 is 3.


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 2492/249, 6800/1782

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 2492/249, 6800/1782?

Answer: LCM of Numerators as per given numbers 2492/249, 6800/1782 is

LCM of Numerators i.e. for 2492,6800 is 4236400

GCF of denominators i.e. for 249,1782 is 3.

Thus, LCM of Fractions is 4236400/3.Finally, LCM of Fractions for 2492/249, 6800/1782 is 4236400/3.