Least Common Multiple of 896/80, 900/41, 941/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/80, 900/41, 941/171 quickly i.e. 189705600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/80, 900/41, 941/171 is 189705600.

LCM(896/80, 900/41, 941/171) = 189705600

LCM of 896/80, 900/41, 941/171

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 896/80,900/41,941/171

Given numbers are 896/80,900/41,941/171

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 896,900,941

Least Common Multiple of Numerators i.e. LCM of 896,900,941 is 189705600.

GCF of Denominators means GCF of 80,41,171 as per the given fractions.

GCF of 80,41,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,900,941

LCM of Fractions 896/80,900/41,941/171 is 189705600

2 896, 900, 941
2 448, 450, 941
224, 225, 941

∴ So the LCM of the given numbers is 2 x 2 x 224 x 225 x 941 = 189705600

Least Common Multiple of 896,900,941 with GCF Formula

Least Common Multiple of 896,900,941 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 896,900,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,900,941) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(896,900,941) x common factors =1 x 4 = 4

LCM(896,900,941) = ( 896 × 900 × 941 ) / 4

LCM(896,900,941) = 758822400 / 4

LCM(896,900,941) = 189705600


Lets's calculate GCF of 80,41,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189705600/1

Therefore the LCM of Fractions 896/80,900/41,941/171 is 189705600

Greatest Common Factor of 80,41,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,41,171 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 41

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

1,41

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 80,41,171 . The biggest common factor number is the GCF number.
So the greatest common factor 80,41,171 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 896/80, 900/41, 941/171

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 896/80, 900/41, 941/171?

Answer: LCM of Numerators as per given numbers 896/80, 900/41, 941/171 is

LCM of Numerators i.e. for 896,900,941 is 189705600

GCF of denominators i.e. for 80,41,171 is 1.

Thus, LCM of Fractions is 189705600.Finally, LCM of Fractions for 896/80, 900/41, 941/171 is 189705600.