Least Common Multiple of 624/994, 3968/1996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/994, 3968/1996 quickly i.e. 77376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/994, 3968/1996 is 77376.

LCM(624/994, 3968/1996) = 77376

LCM of 624/994, 3968/1996

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 624/994,3968/1996

Given numbers are 624/994,3968/1996

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 624,3968

Least Common Multiple of Numerators i.e. LCM of 624,3968 is 154752.

GCF of Denominators means GCF of 994,1996 as per the given fractions.

GCF of 994,1996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,3968

LCM of Fractions 624/994,3968/1996 is 77376

2 624, 3968
2 312, 1984
2 156, 992
2 78, 496
39, 248

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 39 x 248 = 154752

Least Common Multiple of 624,3968 with GCF Formula

Least Common Multiple of 624,3968 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 624,3968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,3968) = 16

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

GCF(624,3968) x common factors =16 x 1 = 16

LCM(624,3968) = ( 624 × 3968 ) / 16

LCM(624,3968) = 2476032 / 16

LCM(624,3968) = 154752


Lets's calculate GCF of 994,1996

2 994, 1996
497, 998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154752/2

Therefore the LCM of Fractions 624/994,3968/1996 is 77376

Greatest Common Factor of 994,1996 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,1996 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Greatest Common Factor

We found the factors 994,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 994,1996 is 2.


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 624/994, 3968/1996

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 624/994, 3968/1996?

Answer: LCM of Numerators as per given numbers 624/994, 3968/1996 is

LCM of Numerators i.e. for 624,3968 is 154752

GCF of denominators i.e. for 994,1996 is 2.

Thus, LCM of Fractions is 77376.Finally, LCM of Fractions for 624/994, 3968/1996 is 77376.