Least Common Multiple of 51/22, 574/20, 663/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/22, 574/20, 663/280 quickly i.e. 190281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/22, 574/20, 663/280 is 190281.

LCM(51/22, 574/20, 663/280) = 190281

LCM of 51/22, 574/20, 663/280

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 51/22,574/20,663/280

Given numbers are 51/22,574/20,663/280

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 51,574,663

Least Common Multiple of Numerators i.e. LCM of 51,574,663 is 380562.

GCF of Denominators means GCF of 22,20,280 as per the given fractions.

GCF of 22,20,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,574,663

LCM of Fractions 51/22,574/20,663/280 is 190281

3 51, 574, 663
17 17, 574, 221
1, 574, 13

∴ So the LCM of the given numbers is 3 x 17 x 1 x 574 x 13 = 380562

Least Common Multiple of 51,574,663 with GCF Formula

Least Common Multiple of 51,574,663 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 51,574,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,574,663) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,574,663) x common factors =1 x 51 = 51

LCM(51,574,663) = ( 51 × 574 × 663 ) / 51

LCM(51,574,663) = 19408662 / 51

LCM(51,574,663) = 380562


Lets's calculate GCF of 22,20,280

2 22, 20, 280
11, 10, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380562/2

Therefore the LCM of Fractions 51/22,574/20,663/280 is 190281

Greatest Common Factor of 22,20,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,20,280 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

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

Greatest Common Factor

We found the factors 22,20,280 . The biggest common factor number is the GCF number.
So the greatest common factor 22,20,280 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 51/22, 574/20, 663/280

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 51/22, 574/20, 663/280?

Answer: LCM of Numerators as per given numbers 51/22, 574/20, 663/280 is

LCM of Numerators i.e. for 51,574,663 is 380562

GCF of denominators i.e. for 22,20,280 is 2.

Thus, LCM of Fractions is 190281.Finally, LCM of Fractions for 51/22, 574/20, 663/280 is 190281.