Least Common Multiple of 12/822, 51/168, 135/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/822, 51/168, 135/574 quickly i.e. 4590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/822, 51/168, 135/574 is 4590.

LCM(12/822, 51/168, 135/574) = 4590

LCM of 12/822, 51/168, 135/574

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 12/822,51/168,135/574

Given numbers are 12/822,51/168,135/574

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 12,51,135

Least Common Multiple of Numerators i.e. LCM of 12,51,135 is 9180.

GCF of Denominators means GCF of 822,168,574 as per the given fractions.

GCF of 822,168,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,51,135

LCM of Fractions 12/822,51/168,135/574 is 4590

3 12, 51, 135
4, 17, 45

∴ So the LCM of the given numbers is 3 x 4 x 17 x 45 = 9180

Least Common Multiple of 12,51,135 with GCF Formula

Least Common Multiple of 12,51,135 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 12,51,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,51,135) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(12,51,135) x common factors =3 x 3 = 9

LCM(12,51,135) = ( 12 × 51 × 135 ) / 9

LCM(12,51,135) = 82620 / 9

LCM(12,51,135) = 9180


Lets's calculate GCF of 822,168,574

2 822, 168, 574
411, 84, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9180/2

Therefore the LCM of Fractions 12/822,51/168,135/574 is 4590

Greatest Common Factor of 822,168,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,168,574 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 822,168,574 . The biggest common factor number is the GCF number.
So the greatest common factor 822,168,574 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 12/822, 51/168, 135/574

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 12/822, 51/168, 135/574?

Answer: LCM of Numerators as per given numbers 12/822, 51/168, 135/574 is

LCM of Numerators i.e. for 12,51,135 is 9180

GCF of denominators i.e. for 822,168,574 is 2.

Thus, LCM of Fractions is 4590.Finally, LCM of Fractions for 12/822, 51/168, 135/574 is 4590.