Least Common Multiple of 74/609, 59/298, 900/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/609, 59/298, 900/520 quickly i.e. 1964700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/609, 59/298, 900/520 is 1964700.

LCM(74/609, 59/298, 900/520) = 1964700

LCM of 74/609, 59/298, 900/520

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 74/609,59/298,900/520

Given numbers are 74/609,59/298,900/520

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 74,59,900

Least Common Multiple of Numerators i.e. LCM of 74,59,900 is 1964700.

GCF of Denominators means GCF of 609,298,520 as per the given fractions.

GCF of 609,298,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,59,900

LCM of Fractions 74/609,59/298,900/520 is 1964700

2 74, 59, 900
37, 59, 450

∴ So the LCM of the given numbers is 2 x 37 x 59 x 450 = 1964700

Least Common Multiple of 74,59,900 with GCF Formula

Least Common Multiple of 74,59,900 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 74,59,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,59,900) = 1

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

GCF(74,59,900) x common factors =1 x 2 = 2

LCM(74,59,900) = ( 74 × 59 × 900 ) / 2

LCM(74,59,900) = 3929400 / 2

LCM(74,59,900) = 1964700


Lets's calculate GCF of 609,298,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964700/1

Therefore the LCM of Fractions 74/609,59/298,900/520 is 1964700

Greatest Common Factor of 609,298,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,298,520 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 609,298,520 . The biggest common factor number is the GCF number.
So the greatest common factor 609,298,520 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 74/609, 59/298, 900/520

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 74/609, 59/298, 900/520?

Answer: LCM of Numerators as per given numbers 74/609, 59/298, 900/520 is

LCM of Numerators i.e. for 74,59,900 is 1964700

GCF of denominators i.e. for 609,298,520 is 1.

Thus, LCM of Fractions is 1964700.Finally, LCM of Fractions for 74/609, 59/298, 900/520 is 1964700.