Least Common Multiple of 960/99, 730/36, 314/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/99, 730/36, 314/450 quickly i.e. 11002560/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/99, 730/36, 314/450 is 11002560/9.

LCM(960/99, 730/36, 314/450) = 11002560/9

LCM of 960/99, 730/36, 314/450

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 960/99,730/36,314/450

Given numbers are 960/99,730/36,314/450

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 960,730,314

Least Common Multiple of Numerators i.e. LCM of 960,730,314 is 11002560.

GCF of Denominators means GCF of 99,36,450 as per the given fractions.

GCF of 99,36,450 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,730,314

LCM of Fractions 960/99,730/36,314/450 is 11002560/9

2 960, 730, 314
5 480, 365, 157
96, 73, 157

∴ So the LCM of the given numbers is 2 x 5 x 96 x 73 x 157 = 11002560

Least Common Multiple of 960,730,314 with GCF Formula

Least Common Multiple of 960,730,314 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 960,730,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,730,314) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(960,730,314) x common factors =2 x 10 = 20

LCM(960,730,314) = ( 960 × 730 × 314 ) / 20

LCM(960,730,314) = 220051200 / 20

LCM(960,730,314) = 11002560


Lets's calculate GCF of 99,36,450

3 99, 36, 450
3 33, 12, 150
11, 4, 50

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11002560/9

Therefore the LCM of Fractions 960/99,730/36,314/450 is 11002560/9

Greatest Common Factor of 99,36,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,36,450 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 99,36,450 . The biggest common factor number is the GCF number.
So the greatest common factor 99,36,450 is 9.


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 960/99, 730/36, 314/450

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 960/99, 730/36, 314/450?

Answer: LCM of Numerators as per given numbers 960/99, 730/36, 314/450 is

LCM of Numerators i.e. for 960,730,314 is 11002560

GCF of denominators i.e. for 99,36,450 is 9.

Thus, LCM of Fractions is 11002560/9.Finally, LCM of Fractions for 960/99, 730/36, 314/450 is 11002560/9.