Least Common Multiple of 74/590, 255/260, 198/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/590, 255/260, 198/711 quickly i.e. 622710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/590, 255/260, 198/711 is 622710.

LCM(74/590, 255/260, 198/711) = 622710

LCM of 74/590, 255/260, 198/711

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 74/590,255/260,198/711

Given numbers are 74/590,255/260,198/711

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 74,255,198

Least Common Multiple of Numerators i.e. LCM of 74,255,198 is 622710.

GCF of Denominators means GCF of 590,260,711 as per the given fractions.

GCF of 590,260,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,255,198

LCM of Fractions 74/590,255/260,198/711 is 622710

2 74, 255, 198
3 37, 255, 99
37, 85, 33

∴ So the LCM of the given numbers is 2 x 3 x 37 x 85 x 33 = 622710

Least Common Multiple of 74,255,198 with GCF Formula

Least Common Multiple of 74,255,198 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 74,255,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,255,198) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,255,198) x common factors =1 x 6 = 6

LCM(74,255,198) = ( 74 × 255 × 198 ) / 6

LCM(74,255,198) = 3736260 / 6

LCM(74,255,198) = 622710


Lets's calculate GCF of 590,260,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 622710/1

Therefore the LCM of Fractions 74/590,255/260,198/711 is 622710

Greatest Common Factor of 590,260,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,260,711 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 590,260,711 . The biggest common factor number is the GCF number.
So the greatest common factor 590,260,711 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 74/590, 255/260, 198/711

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 74/590, 255/260, 198/711?

Answer: LCM of Numerators as per given numbers 74/590, 255/260, 198/711 is

LCM of Numerators i.e. for 74,255,198 is 622710

GCF of denominators i.e. for 590,260,711 is 1.

Thus, LCM of Fractions is 622710.Finally, LCM of Fractions for 74/590, 255/260, 198/711 is 622710.