Least Common Multiple of 74/992, 2037/9588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/992, 2037/9588 quickly i.e. 150738/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/992, 2037/9588 is 150738/4.

LCM(74/992, 2037/9588) = 150738/4

LCM of 74/992, 2037/9588

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 74/992,2037/9588

Given numbers are 74/992,2037/9588

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 74,2037

Least Common Multiple of Numerators i.e. LCM of 74,2037 is 150738.

GCF of Denominators means GCF of 992,9588 as per the given fractions.

GCF of 992,9588 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,2037

LCM of Fractions 74/992,2037/9588 is 150738/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 150738

Least Common Multiple of 74,2037 with GCF Formula

Least Common Multiple of 74,2037 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 74,2037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,2037) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,2037) x common factors =1 x 1 = 1

LCM(74,2037) = ( 74 × 2037 ) / 1

LCM(74,2037) = 150738 / 1

LCM(74,2037) = 150738


Lets's calculate GCF of 992,9588

2 992, 9588
2 496, 4794
248, 2397

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150738/4

Therefore the LCM of Fractions 74/992,2037/9588 is 150738/4

Greatest Common Factor of 992,9588 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,9588 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 9588

List of positive integer factors of 9588 that divides 9588 without a remainder.

1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588

Greatest Common Factor

We found the factors 992,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 992,9588 is 4.


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 74/992, 2037/9588

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 74/992, 2037/9588?

Answer: LCM of Numerators as per given numbers 74/992, 2037/9588 is

LCM of Numerators i.e. for 74,2037 is 150738

GCF of denominators i.e. for 992,9588 is 4.

Thus, LCM of Fractions is 150738/4.Finally, LCM of Fractions for 74/992, 2037/9588 is 150738/4.