Least Common Multiple of 451/660, 9430/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 451/660, 9430/540 quickly i.e. 103730/60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/660, 9430/540 is 103730/60.

LCM(451/660, 9430/540) = 103730/60

LCM of 451/660, 9430/540

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 451/660,9430/540

Given numbers are 451/660,9430/540

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 451,9430

Least Common Multiple of Numerators i.e. LCM of 451,9430 is 103730.

GCF of Denominators means GCF of 660,540 as per the given fractions.

GCF of 660,540 is 60 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,9430

LCM of Fractions 451/660,9430/540 is 103730/60

41 451, 9430
11, 230

∴ So the LCM of the given numbers is 41 x 11 x 230 = 103730

Least Common Multiple of 451,9430 with GCF Formula

Least Common Multiple of 451,9430 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 451,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,9430) = 41

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

GCF(451,9430) x common factors =41 x 1 = 41

LCM(451,9430) = ( 451 × 9430 ) / 41

LCM(451,9430) = 4252930 / 41

LCM(451,9430) = 103730


Lets's calculate GCF of 660,540

2 660, 540
2 330, 270
3 165, 135
5 55, 45
11, 9

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103730/60

Therefore the LCM of Fractions 451/660,9430/540 is 103730/60

Greatest Common Factor of 660,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,540 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 660,540 . The biggest common factor number is the GCF number.
So the greatest common factor 660,540 is 60.


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 451/660, 9430/540

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 451/660, 9430/540?

Answer: LCM of Numerators as per given numbers 451/660, 9430/540 is

LCM of Numerators i.e. for 451,9430 is 103730

GCF of denominators i.e. for 660,540 is 60.

Thus, LCM of Fractions is 103730/60.Finally, LCM of Fractions for 451/660, 9430/540 is 103730/60.