Least Common Multiple of 45/81, 442/66, 923/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/81, 442/66, 923/156 quickly i.e. 470730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/81, 442/66, 923/156 is 470730.

LCM(45/81, 442/66, 923/156) = 470730

LCM of 45/81, 442/66, 923/156

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 45/81,442/66,923/156

Given numbers are 45/81,442/66,923/156

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 45,442,923

Least Common Multiple of Numerators i.e. LCM of 45,442,923 is 1412190.

GCF of Denominators means GCF of 81,66,156 as per the given fractions.

GCF of 81,66,156 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,442,923

LCM of Fractions 45/81,442/66,923/156 is 470730

13 45, 442, 923
45, 34, 71

∴ So the LCM of the given numbers is 13 x 45 x 34 x 71 = 1412190

Least Common Multiple of 45,442,923 with GCF Formula

Least Common Multiple of 45,442,923 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 45,442,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,442,923) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(45,442,923) x common factors =1 x 13 = 13

LCM(45,442,923) = ( 45 × 442 × 923 ) / 13

LCM(45,442,923) = 18358470 / 13

LCM(45,442,923) = 1412190


Lets's calculate GCF of 81,66,156

3 81, 66, 156
27, 22, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412190/3

Therefore the LCM of Fractions 45/81,442/66,923/156 is 470730

Greatest Common Factor of 81,66,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,66,156 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 81,66,156 . The biggest common factor number is the GCF number.
So the greatest common factor 81,66,156 is 3.


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 45/81, 442/66, 923/156

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 45/81, 442/66, 923/156?

Answer: LCM of Numerators as per given numbers 45/81, 442/66, 923/156 is

LCM of Numerators i.e. for 45,442,923 is 1412190

GCF of denominators i.e. for 81,66,156 is 3.

Thus, LCM of Fractions is 470730.Finally, LCM of Fractions for 45/81, 442/66, 923/156 is 470730.