Least Common Multiple of 4757/987, 1620/3996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4757/987, 1620/3996 quickly i.e. 2568780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4757/987, 1620/3996 is 2568780.

LCM(4757/987, 1620/3996) = 2568780

LCM of 4757/987, 1620/3996

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 4757/987,1620/3996

Given numbers are 4757/987,1620/3996

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 4757,1620

Least Common Multiple of Numerators i.e. LCM of 4757,1620 is 7706340.

GCF of Denominators means GCF of 987,3996 as per the given fractions.

GCF of 987,3996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4757,1620

LCM of Fractions 4757/987,1620/3996 is 2568780

Given numbers has no common factors except 1. So, there LCM is their product i.e 7706340

Least Common Multiple of 4757,1620 with GCF Formula

Least Common Multiple of 4757,1620 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 4757,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4757,1620) = 1

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

GCF(4757,1620) x common factors =1 x 1 = 1

LCM(4757,1620) = ( 4757 × 1620 ) / 1

LCM(4757,1620) = 7706340 / 1

LCM(4757,1620) = 7706340


Lets's calculate GCF of 987,3996

3 987, 3996
329, 1332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7706340/3

Therefore the LCM of Fractions 4757/987,1620/3996 is 2568780

Greatest Common Factor of 987,3996 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,3996 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 3996

List of positive integer factors of 3996 that divides 3996 without a remainder.

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Greatest Common Factor

We found the factors 987,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 987,3996 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4757/987, 1620/3996

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 4757/987, 1620/3996?

Answer: LCM of Numerators as per given numbers 4757/987, 1620/3996 is

LCM of Numerators i.e. for 4757,1620 is 7706340

GCF of denominators i.e. for 987,3996 is 3.

Thus, LCM of Fractions is 2568780.Finally, LCM of Fractions for 4757/987, 1620/3996 is 2568780.