Least Common Multiple of 249/44, 466/4824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/44, 466/4824 quickly i.e. 116034/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/44, 466/4824 is 116034/4.

LCM(249/44, 466/4824) = 116034/4

LCM of 249/44, 466/4824

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 249/44,466/4824

Given numbers are 249/44,466/4824

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 249,466

Least Common Multiple of Numerators i.e. LCM of 249,466 is 116034.

GCF of Denominators means GCF of 44,4824 as per the given fractions.

GCF of 44,4824 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,466

LCM of Fractions 249/44,466/4824 is 116034/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 116034

Least Common Multiple of 249,466 with GCF Formula

Least Common Multiple of 249,466 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 249,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,466) = 1

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

GCF(249,466) x common factors =1 x 1 = 1

LCM(249,466) = ( 249 × 466 ) / 1

LCM(249,466) = 116034 / 1

LCM(249,466) = 116034


Lets's calculate GCF of 44,4824

2 44, 4824
2 22, 2412
11, 1206

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116034/4

Therefore the LCM of Fractions 249/44,466/4824 is 116034/4

Greatest Common Factor of 44,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,4824 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 44,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 44,4824 is 4.


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 249/44, 466/4824

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 249/44, 466/4824?

Answer: LCM of Numerators as per given numbers 249/44, 466/4824 is

LCM of Numerators i.e. for 249,466 is 116034

GCF of denominators i.e. for 44,4824 is 4.

Thus, LCM of Fractions is 116034/4.Finally, LCM of Fractions for 249/44, 466/4824 is 116034/4.