Least Common Multiple of 8483/42, 6788/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8483/42, 6788/994 quickly i.e. 57582604/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8483/42, 6788/994 is 57582604/14.

LCM(8483/42, 6788/994) = 57582604/14

LCM of 8483/42, 6788/994

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 8483/42,6788/994

Given numbers are 8483/42,6788/994

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 8483,6788

Least Common Multiple of Numerators i.e. LCM of 8483,6788 is 57582604.

GCF of Denominators means GCF of 42,994 as per the given fractions.

GCF of 42,994 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8483,6788

LCM of Fractions 8483/42,6788/994 is 57582604/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 57582604

Least Common Multiple of 8483,6788 with GCF Formula

Least Common Multiple of 8483,6788 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 8483,6788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8483,6788) = 1

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

GCF(8483,6788) x common factors =1 x 1 = 1

LCM(8483,6788) = ( 8483 × 6788 ) / 1

LCM(8483,6788) = 57582604 / 1

LCM(8483,6788) = 57582604


Lets's calculate GCF of 42,994

2 42, 994
7 21, 497
3, 71

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57582604/14

Therefore the LCM of Fractions 8483/42,6788/994 is 57582604/14

Greatest Common Factor of 42,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,994 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 994

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

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

Greatest Common Factor

We found the factors 42,994 . The biggest common factor number is the GCF number.
So the greatest common factor 42,994 is 14.


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 8483/42, 6788/994

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 8483/42, 6788/994?

Answer: LCM of Numerators as per given numbers 8483/42, 6788/994 is

LCM of Numerators i.e. for 8483,6788 is 57582604

GCF of denominators i.e. for 42,994 is 14.

Thus, LCM of Fractions is 57582604/14.Finally, LCM of Fractions for 8483/42, 6788/994 is 57582604/14.