Least Common Multiple of 81/66, 340/89, 354/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/66, 340/89, 354/156 quickly i.e. 1624860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/66, 340/89, 354/156 is 1624860.

LCM(81/66, 340/89, 354/156) = 1624860

LCM of 81/66, 340/89, 354/156

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 81/66,340/89,354/156

Given numbers are 81/66,340/89,354/156

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 81,340,354

Least Common Multiple of Numerators i.e. LCM of 81,340,354 is 1624860.

GCF of Denominators means GCF of 66,89,156 as per the given fractions.

GCF of 66,89,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,340,354

LCM of Fractions 81/66,340/89,354/156 is 1624860

2 81, 340, 354
3 81, 170, 177
27, 170, 59

∴ So the LCM of the given numbers is 2 x 3 x 27 x 170 x 59 = 1624860

Least Common Multiple of 81,340,354 with GCF Formula

Least Common Multiple of 81,340,354 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 81,340,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,340,354) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,340,354) x common factors =1 x 6 = 6

LCM(81,340,354) = ( 81 × 340 × 354 ) / 6

LCM(81,340,354) = 9749160 / 6

LCM(81,340,354) = 1624860


Lets's calculate GCF of 66,89,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1624860/1

Therefore the LCM of Fractions 81/66,340/89,354/156 is 1624860

Greatest Common Factor of 66,89,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,89,156 By Matching Biggest Common Factor Method

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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 66,89,156 . The biggest common factor number is the GCF number.
So the greatest common factor 66,89,156 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 81/66, 340/89, 354/156

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 81/66, 340/89, 354/156?

Answer: LCM of Numerators as per given numbers 81/66, 340/89, 354/156 is

LCM of Numerators i.e. for 81,340,354 is 1624860

GCF of denominators i.e. for 66,89,156 is 1.

Thus, LCM of Fractions is 1624860.Finally, LCM of Fractions for 81/66, 340/89, 354/156 is 1624860.