Least Common Multiple of 574/84, 199/80, 376/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/84, 199/80, 376/135 quickly i.e. 21474488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/84, 199/80, 376/135 is 21474488.

LCM(574/84, 199/80, 376/135) = 21474488

LCM of 574/84, 199/80, 376/135

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 574/84,199/80,376/135

Given numbers are 574/84,199/80,376/135

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 574,199,376

Least Common Multiple of Numerators i.e. LCM of 574,199,376 is 21474488.

GCF of Denominators means GCF of 84,80,135 as per the given fractions.

GCF of 84,80,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,199,376

LCM of Fractions 574/84,199/80,376/135 is 21474488

2 574, 199, 376
287, 199, 188

∴ So the LCM of the given numbers is 2 x 287 x 199 x 188 = 21474488

Least Common Multiple of 574,199,376 with GCF Formula

Least Common Multiple of 574,199,376 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 574,199,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,199,376) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(574,199,376) x common factors =1 x 2 = 2

LCM(574,199,376) = ( 574 × 199 × 376 ) / 2

LCM(574,199,376) = 42948976 / 2

LCM(574,199,376) = 21474488


Lets's calculate GCF of 84,80,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21474488/1

Therefore the LCM of Fractions 574/84,199/80,376/135 is 21474488

Greatest Common Factor of 84,80,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,80,135 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 84,80,135 . The biggest common factor number is the GCF number.
So the greatest common factor 84,80,135 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 574/84, 199/80, 376/135

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 574/84, 199/80, 376/135?

Answer: LCM of Numerators as per given numbers 574/84, 199/80, 376/135 is

LCM of Numerators i.e. for 574,199,376 is 21474488

GCF of denominators i.e. for 84,80,135 is 1.

Thus, LCM of Fractions is 21474488.Finally, LCM of Fractions for 574/84, 199/80, 376/135 is 21474488.