Least Common Multiple of 554/10, 180/4142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/10, 180/4142 quickly i.e. 24930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/10, 180/4142 is 24930.

LCM(554/10, 180/4142) = 24930

LCM of 554/10, 180/4142

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 554/10,180/4142

Given numbers are 554/10,180/4142

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 554,180

Least Common Multiple of Numerators i.e. LCM of 554,180 is 49860.

GCF of Denominators means GCF of 10,4142 as per the given fractions.

GCF of 10,4142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,180

LCM of Fractions 554/10,180/4142 is 24930

2 554, 180
277, 90

∴ So the LCM of the given numbers is 2 x 277 x 90 = 49860

Least Common Multiple of 554,180 with GCF Formula

Least Common Multiple of 554,180 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 554,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,180) = 2

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

GCF(554,180) x common factors =2 x 1 = 2

LCM(554,180) = ( 554 × 180 ) / 2

LCM(554,180) = 99720 / 2

LCM(554,180) = 49860


Lets's calculate GCF of 10,4142

2 10, 4142
5, 2071

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49860/2

Therefore the LCM of Fractions 554/10,180/4142 is 24930

Greatest Common Factor of 10,4142 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4142 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Greatest Common Factor

We found the factors 10,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4142 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 554/10, 180/4142

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 554/10, 180/4142?

Answer: LCM of Numerators as per given numbers 554/10, 180/4142 is

LCM of Numerators i.e. for 554,180 is 49860

GCF of denominators i.e. for 10,4142 is 2.

Thus, LCM of Fractions is 24930.Finally, LCM of Fractions for 554/10, 180/4142 is 24930.