Least Common Multiple of 39/867, 494/22, 199/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/867, 494/22, 199/699 quickly i.e. 294918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/867, 494/22, 199/699 is 294918.

LCM(39/867, 494/22, 199/699) = 294918

LCM of 39/867, 494/22, 199/699

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 39/867,494/22,199/699

Given numbers are 39/867,494/22,199/699

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 39,494,199

Least Common Multiple of Numerators i.e. LCM of 39,494,199 is 294918.

GCF of Denominators means GCF of 867,22,699 as per the given fractions.

GCF of 867,22,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,494,199

LCM of Fractions 39/867,494/22,199/699 is 294918

13 39, 494, 199
3, 38, 199

∴ So the LCM of the given numbers is 13 x 3 x 38 x 199 = 294918

Least Common Multiple of 39,494,199 with GCF Formula

Least Common Multiple of 39,494,199 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 39,494,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,494,199) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,494,199) x common factors =1 x 13 = 13

LCM(39,494,199) = ( 39 × 494 × 199 ) / 13

LCM(39,494,199) = 3833934 / 13

LCM(39,494,199) = 294918


Lets's calculate GCF of 867,22,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294918/1

Therefore the LCM of Fractions 39/867,494/22,199/699 is 294918

Greatest Common Factor of 867,22,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,22,699 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 867,22,699 . The biggest common factor number is the GCF number.
So the greatest common factor 867,22,699 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 39/867, 494/22, 199/699

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 39/867, 494/22, 199/699?

Answer: LCM of Numerators as per given numbers 39/867, 494/22, 199/699 is

LCM of Numerators i.e. for 39,494,199 is 294918

GCF of denominators i.e. for 867,22,699 is 1.

Thus, LCM of Fractions is 294918.Finally, LCM of Fractions for 39/867, 494/22, 199/699 is 294918.