Least Common Multiple of 83/12, 54/693, 755/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/12, 54/693, 755/994 quickly i.e. 3383910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/12, 54/693, 755/994 is 3383910.

LCM(83/12, 54/693, 755/994) = 3383910

LCM of 83/12, 54/693, 755/994

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 83/12,54/693,755/994

Given numbers are 83/12,54/693,755/994

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 83,54,755

Least Common Multiple of Numerators i.e. LCM of 83,54,755 is 3383910.

GCF of Denominators means GCF of 12,693,994 as per the given fractions.

GCF of 12,693,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,54,755

LCM of Fractions 83/12,54/693,755/994 is 3383910

Given numbers has no common factors except 1. So, there LCM is their product i.e 3383910

Least Common Multiple of 83,54,755 with GCF Formula

Least Common Multiple of 83,54,755 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 83,54,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,54,755) = 1

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

GCF(83,54,755) x common factors =1 x 1 = 1

LCM(83,54,755) = ( 83 × 54 × 755 ) / 1

LCM(83,54,755) = 3383910 / 1

LCM(83,54,755) = 3383910


Lets's calculate GCF of 12,693,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3383910/1

Therefore the LCM of Fractions 83/12,54/693,755/994 is 3383910

Greatest Common Factor of 12,693,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,693,994 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

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 12,693,994 . The biggest common factor number is the GCF number.
So the greatest common factor 12,693,994 is 1.


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 83/12, 54/693, 755/994

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 83/12, 54/693, 755/994?

Answer: LCM of Numerators as per given numbers 83/12, 54/693, 755/994 is

LCM of Numerators i.e. for 83,54,755 is 3383910

GCF of denominators i.e. for 12,693,994 is 1.

Thus, LCM of Fractions is 3383910.Finally, LCM of Fractions for 83/12, 54/693, 755/994 is 3383910.