Least Common Multiple of 150/54, 348/4990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/54, 348/4990 quickly i.e. 4350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/54, 348/4990 is 4350.

LCM(150/54, 348/4990) = 4350

LCM of 150/54, 348/4990

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 150/54,348/4990

Given numbers are 150/54,348/4990

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 150,348

Least Common Multiple of Numerators i.e. LCM of 150,348 is 8700.

GCF of Denominators means GCF of 54,4990 as per the given fractions.

GCF of 54,4990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,348

LCM of Fractions 150/54,348/4990 is 4350

2 150, 348
3 75, 174
25, 58

∴ So the LCM of the given numbers is 2 x 3 x 25 x 58 = 8700

Least Common Multiple of 150,348 with GCF Formula

Least Common Multiple of 150,348 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 150,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,348) = 6

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

GCF(150,348) x common factors =6 x 1 = 6

LCM(150,348) = ( 150 × 348 ) / 6

LCM(150,348) = 52200 / 6

LCM(150,348) = 8700


Lets's calculate GCF of 54,4990

2 54, 4990
27, 2495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8700/2

Therefore the LCM of Fractions 150/54,348/4990 is 4350

Greatest Common Factor of 54,4990 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,4990 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors 54,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 54,4990 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 150/54, 348/4990

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 150/54, 348/4990?

Answer: LCM of Numerators as per given numbers 150/54, 348/4990 is

LCM of Numerators i.e. for 150,348 is 8700

GCF of denominators i.e. for 54,4990 is 2.

Thus, LCM of Fractions is 4350.Finally, LCM of Fractions for 150/54, 348/4990 is 4350.