Least Common Multiple of 75/484, 19/351, 260/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/484, 19/351, 260/570 quickly i.e. 74100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/484, 19/351, 260/570 is 74100.

LCM(75/484, 19/351, 260/570) = 74100

LCM of 75/484, 19/351, 260/570

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 75/484,19/351,260/570

Given numbers are 75/484,19/351,260/570

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 75,19,260

Least Common Multiple of Numerators i.e. LCM of 75,19,260 is 74100.

GCF of Denominators means GCF of 484,351,570 as per the given fractions.

GCF of 484,351,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,19,260

LCM of Fractions 75/484,19/351,260/570 is 74100

5 75, 19, 260
15, 19, 52

∴ So the LCM of the given numbers is 5 x 15 x 19 x 52 = 74100

Least Common Multiple of 75,19,260 with GCF Formula

Least Common Multiple of 75,19,260 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 75,19,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,19,260) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,19,260) x common factors =1 x 5 = 5

LCM(75,19,260) = ( 75 × 19 × 260 ) / 5

LCM(75,19,260) = 370500 / 5

LCM(75,19,260) = 74100


Lets's calculate GCF of 484,351,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74100/1

Therefore the LCM of Fractions 75/484,19/351,260/570 is 74100

Greatest Common Factor of 484,351,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,351,570 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 484,351,570 . The biggest common factor number is the GCF number.
So the greatest common factor 484,351,570 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 75/484, 19/351, 260/570

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 75/484, 19/351, 260/570?

Answer: LCM of Numerators as per given numbers 75/484, 19/351, 260/570 is

LCM of Numerators i.e. for 75,19,260 is 74100

GCF of denominators i.e. for 484,351,570 is 1.

Thus, LCM of Fractions is 74100.Finally, LCM of Fractions for 75/484, 19/351, 260/570 is 74100.