Least Common Multiple of 249/492, 920/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/492, 920/550 quickly i.e. 114540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/492, 920/550 is 114540.

LCM(249/492, 920/550) = 114540

LCM of 249/492, 920/550

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 249/492,920/550

Given numbers are 249/492,920/550

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 249,920

Least Common Multiple of Numerators i.e. LCM of 249,920 is 229080.

GCF of Denominators means GCF of 492,550 as per the given fractions.

GCF of 492,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,920

LCM of Fractions 249/492,920/550 is 114540

Given numbers has no common factors except 1. So, there LCM is their product i.e 229080

Least Common Multiple of 249,920 with GCF Formula

Least Common Multiple of 249,920 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 249,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,920) = 1

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

GCF(249,920) x common factors =1 x 1 = 1

LCM(249,920) = ( 249 × 920 ) / 1

LCM(249,920) = 229080 / 1

LCM(249,920) = 229080


Lets's calculate GCF of 492,550

2 492, 550
246, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229080/2

Therefore the LCM of Fractions 249/492,920/550 is 114540

Greatest Common Factor of 492,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,550 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 492,550 . The biggest common factor number is the GCF number.
So the greatest common factor 492,550 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 249/492, 920/550

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 249/492, 920/550?

Answer: LCM of Numerators as per given numbers 249/492, 920/550 is

LCM of Numerators i.e. for 249,920 is 229080

GCF of denominators i.e. for 492,550 is 2.

Thus, LCM of Fractions is 114540.Finally, LCM of Fractions for 249/492, 920/550 is 114540.