Least Common Multiple of 48/989, 6011/3944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/989, 6011/3944 quickly i.e. 288528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/989, 6011/3944 is 288528.

LCM(48/989, 6011/3944) = 288528

LCM of 48/989, 6011/3944

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 48/989,6011/3944

Given numbers are 48/989,6011/3944

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 48,6011

Least Common Multiple of Numerators i.e. LCM of 48,6011 is 288528.

GCF of Denominators means GCF of 989,3944 as per the given fractions.

GCF of 989,3944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,6011

LCM of Fractions 48/989,6011/3944 is 288528

Given numbers has no common factors except 1. So, there LCM is their product i.e 288528

Least Common Multiple of 48,6011 with GCF Formula

Least Common Multiple of 48,6011 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 48,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,6011) = 1

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

GCF(48,6011) x common factors =1 x 1 = 1

LCM(48,6011) = ( 48 × 6011 ) / 1

LCM(48,6011) = 288528 / 1

LCM(48,6011) = 288528


Lets's calculate GCF of 989,3944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288528/1

Therefore the LCM of Fractions 48/989,6011/3944 is 288528

Greatest Common Factor of 989,3944 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,3944 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Greatest Common Factor

We found the factors 989,3944 . The biggest common factor number is the GCF number.
So the greatest common factor 989,3944 is 1.


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Frequently Asked Questions on Fractional LCM of 48/989, 6011/3944

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 48/989, 6011/3944?

Answer: LCM of Numerators as per given numbers 48/989, 6011/3944 is

LCM of Numerators i.e. for 48,6011 is 288528

GCF of denominators i.e. for 989,3944 is 1.

Thus, LCM of Fractions is 288528.Finally, LCM of Fractions for 48/989, 6011/3944 is 288528.