Least Common Multiple of 9/143, 21/360, 95/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/143, 21/360, 95/416 quickly i.e. 5985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/143, 21/360, 95/416 is 5985.

LCM(9/143, 21/360, 95/416) = 5985

LCM of 9/143, 21/360, 95/416

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 9/143,21/360,95/416

Given numbers are 9/143,21/360,95/416

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 9,21,95

Least Common Multiple of Numerators i.e. LCM of 9,21,95 is 5985.

GCF of Denominators means GCF of 143,360,416 as per the given fractions.

GCF of 143,360,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,21,95

LCM of Fractions 9/143,21/360,95/416 is 5985

3 9, 21, 95
3, 7, 95

∴ So the LCM of the given numbers is 3 x 3 x 7 x 95 = 5985

Least Common Multiple of 9,21,95 with GCF Formula

Least Common Multiple of 9,21,95 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 9,21,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,21,95) = 1

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

GCF(9,21,95) x common factors =1 x 3 = 3

LCM(9,21,95) = ( 9 × 21 × 95 ) / 3

LCM(9,21,95) = 17955 / 3

LCM(9,21,95) = 5985


Lets's calculate GCF of 143,360,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5985/1

Therefore the LCM of Fractions 9/143,21/360,95/416 is 5985

Greatest Common Factor of 143,360,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,360,416 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 143,360,416 . The biggest common factor number is the GCF number.
So the greatest common factor 143,360,416 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 9/143, 21/360, 95/416

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 9/143, 21/360, 95/416?

Answer: LCM of Numerators as per given numbers 9/143, 21/360, 95/416 is

LCM of Numerators i.e. for 9,21,95 is 5985

GCF of denominators i.e. for 143,360,416 is 1.

Thus, LCM of Fractions is 5985.Finally, LCM of Fractions for 9/143, 21/360, 95/416 is 5985.