Least Common Multiple of 81/22, 768/60, 372/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/22, 768/60, 372/560 quickly i.e. 321408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/22, 768/60, 372/560 is 321408.

LCM(81/22, 768/60, 372/560) = 321408

LCM of 81/22, 768/60, 372/560

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 81/22,768/60,372/560

Given numbers are 81/22,768/60,372/560

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 81,768,372

Least Common Multiple of Numerators i.e. LCM of 81,768,372 is 642816.

GCF of Denominators means GCF of 22,60,560 as per the given fractions.

GCF of 22,60,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,768,372

LCM of Fractions 81/22,768/60,372/560 is 321408

2 81, 768, 372
2 81, 384, 186
3 81, 192, 93
27, 64, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 64 x 31 = 642816

Least Common Multiple of 81,768,372 with GCF Formula

Least Common Multiple of 81,768,372 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 81,768,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,768,372) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(81,768,372) x common factors =3 x 12 = 36

LCM(81,768,372) = ( 81 × 768 × 372 ) / 36

LCM(81,768,372) = 23141376 / 36

LCM(81,768,372) = 642816


Lets's calculate GCF of 22,60,560

2 22, 60, 560
11, 30, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642816/2

Therefore the LCM of Fractions 81/22,768/60,372/560 is 321408

Greatest Common Factor of 22,60,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,60,560 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 22,60,560 . The biggest common factor number is the GCF number.
So the greatest common factor 22,60,560 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 81/22, 768/60, 372/560

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 81/22, 768/60, 372/560?

Answer: LCM of Numerators as per given numbers 81/22, 768/60, 372/560 is

LCM of Numerators i.e. for 81,768,372 is 642816

GCF of denominators i.e. for 22,60,560 is 2.

Thus, LCM of Fractions is 321408.Finally, LCM of Fractions for 81/22, 768/60, 372/560 is 321408.