Least Common Multiple of 3972/548, 8092/6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3972/548, 8092/6036 quickly i.e. 2008839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3972/548, 8092/6036 is 2008839.

LCM(3972/548, 8092/6036) = 2008839

LCM of 3972/548, 8092/6036

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 3972/548,8092/6036

Given numbers are 3972/548,8092/6036

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 3972,8092

Least Common Multiple of Numerators i.e. LCM of 3972,8092 is 8035356.

GCF of Denominators means GCF of 548,6036 as per the given fractions.

GCF of 548,6036 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3972,8092

LCM of Fractions 3972/548,8092/6036 is 2008839

2 3972, 8092
2 1986, 4046
993, 2023

∴ So the LCM of the given numbers is 2 x 2 x 993 x 2023 = 8035356

Least Common Multiple of 3972,8092 with GCF Formula

Least Common Multiple of 3972,8092 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 3972,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3972,8092) = 4

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

GCF(3972,8092) x common factors =4 x 1 = 4

LCM(3972,8092) = ( 3972 × 8092 ) / 4

LCM(3972,8092) = 32141424 / 4

LCM(3972,8092) = 8035356


Lets's calculate GCF of 548,6036

2 548, 6036
2 274, 3018
137, 1509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8035356/4

Therefore the LCM of Fractions 3972/548,8092/6036 is 2008839

Greatest Common Factor of 548,6036 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,6036 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Greatest Common Factor

We found the factors 548,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 548,6036 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 3972/548, 8092/6036

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 3972/548, 8092/6036?

Answer: LCM of Numerators as per given numbers 3972/548, 8092/6036 is

LCM of Numerators i.e. for 3972,8092 is 8035356

GCF of denominators i.e. for 548,6036 is 4.

Thus, LCM of Fractions is 2008839.Finally, LCM of Fractions for 3972/548, 8092/6036 is 2008839.