Least Common Multiple of 149/388, 9744/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/388, 9744/484 quickly i.e. 362964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/388, 9744/484 is 362964.

LCM(149/388, 9744/484) = 362964

LCM of 149/388, 9744/484

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 149/388,9744/484

Given numbers are 149/388,9744/484

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 149,9744

Least Common Multiple of Numerators i.e. LCM of 149,9744 is 1451856.

GCF of Denominators means GCF of 388,484 as per the given fractions.

GCF of 388,484 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,9744

LCM of Fractions 149/388,9744/484 is 362964

Given numbers has no common factors except 1. So, there LCM is their product i.e 1451856

Least Common Multiple of 149,9744 with GCF Formula

Least Common Multiple of 149,9744 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 149,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,9744) = 1

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

GCF(149,9744) x common factors =1 x 1 = 1

LCM(149,9744) = ( 149 × 9744 ) / 1

LCM(149,9744) = 1451856 / 1

LCM(149,9744) = 1451856


Lets's calculate GCF of 388,484

2 388, 484
2 194, 242
97, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1451856/4

Therefore the LCM of Fractions 149/388,9744/484 is 362964

Greatest Common Factor of 388,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,484 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 388,484 . The biggest common factor number is the GCF number.
So the greatest common factor 388,484 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 149/388, 9744/484

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 149/388, 9744/484?

Answer: LCM of Numerators as per given numbers 149/388, 9744/484 is

LCM of Numerators i.e. for 149,9744 is 1451856

GCF of denominators i.e. for 388,484 is 4.

Thus, LCM of Fractions is 362964.Finally, LCM of Fractions for 149/388, 9744/484 is 362964.