Least Common Multiple of 969/41, 979/18, 555/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/41, 979/18, 555/452 quickly i.e. 175500435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/41, 979/18, 555/452 is 175500435.

LCM(969/41, 979/18, 555/452) = 175500435

LCM of 969/41, 979/18, 555/452

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 969/41,979/18,555/452

Given numbers are 969/41,979/18,555/452

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 969,979,555

Least Common Multiple of Numerators i.e. LCM of 969,979,555 is 175500435.

GCF of Denominators means GCF of 41,18,452 as per the given fractions.

GCF of 41,18,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,979,555

LCM of Fractions 969/41,979/18,555/452 is 175500435

3 969, 979, 555
323, 979, 185

∴ So the LCM of the given numbers is 3 x 323 x 979 x 185 = 175500435

Least Common Multiple of 969,979,555 with GCF Formula

Least Common Multiple of 969,979,555 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 969,979,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,979,555) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(969,979,555) x common factors =1 x 3 = 3

LCM(969,979,555) = ( 969 × 979 × 555 ) / 3

LCM(969,979,555) = 526501305 / 3

LCM(969,979,555) = 175500435


Lets's calculate GCF of 41,18,452

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175500435/1

Therefore the LCM of Fractions 969/41,979/18,555/452 is 175500435

Greatest Common Factor of 41,18,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,18,452 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 41,18,452 . The biggest common factor number is the GCF number.
So the greatest common factor 41,18,452 is 1.


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 969/41, 979/18, 555/452

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 969/41, 979/18, 555/452?

Answer: LCM of Numerators as per given numbers 969/41, 979/18, 555/452 is

LCM of Numerators i.e. for 969,979,555 is 175500435

GCF of denominators i.e. for 41,18,452 is 1.

Thus, LCM of Fractions is 175500435.Finally, LCM of Fractions for 969/41, 979/18, 555/452 is 175500435.