Least Common Multiple of 9/386, 45/540, 92/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/386, 45/540, 92/324 quickly i.e. 2070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/386, 45/540, 92/324 is 2070.

LCM(9/386, 45/540, 92/324) = 2070

LCM of 9/386, 45/540, 92/324

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 9/386,45/540,92/324

Given numbers are 9/386,45/540,92/324

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 9,45,92

Least Common Multiple of Numerators i.e. LCM of 9,45,92 is 4140.

GCF of Denominators means GCF of 386,540,324 as per the given fractions.

GCF of 386,540,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,45,92

LCM of Fractions 9/386,45/540,92/324 is 2070

3 9, 45, 92
3 3, 15, 92
1, 5, 92

∴ So the LCM of the given numbers is 3 x 3 x 1 x 5 x 92 = 4140

Least Common Multiple of 9,45,92 with GCF Formula

Least Common Multiple of 9,45,92 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 9,45,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,45,92) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(9,45,92) x common factors =1 x 9 = 9

LCM(9,45,92) = ( 9 × 45 × 92 ) / 9

LCM(9,45,92) = 37260 / 9

LCM(9,45,92) = 4140


Lets's calculate GCF of 386,540,324

2 386, 540, 324
193, 270, 162

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140/2

Therefore the LCM of Fractions 9/386,45/540,92/324 is 2070

Greatest Common Factor of 386,540,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,540,324 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

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

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 386,540,324 . The biggest common factor number is the GCF number.
So the greatest common factor 386,540,324 is 2.


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 9/386, 45/540, 92/324

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 9/386, 45/540, 92/324?

Answer: LCM of Numerators as per given numbers 9/386, 45/540, 92/324 is

LCM of Numerators i.e. for 9,45,92 is 4140

GCF of denominators i.e. for 386,540,324 is 2.

Thus, LCM of Fractions is 2070.Finally, LCM of Fractions for 9/386, 45/540, 92/324 is 2070.