Least Common Multiple of 68/93, 398/99, 294/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/93, 398/99, 294/987 quickly i.e. 663068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/93, 398/99, 294/987 is 663068.

LCM(68/93, 398/99, 294/987) = 663068

LCM of 68/93, 398/99, 294/987

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 68/93,398/99,294/987

Given numbers are 68/93,398/99,294/987

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 68,398,294

Least Common Multiple of Numerators i.e. LCM of 68,398,294 is 1989204.

GCF of Denominators means GCF of 93,99,987 as per the given fractions.

GCF of 93,99,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,398,294

LCM of Fractions 68/93,398/99,294/987 is 663068

2 68, 398, 294
34, 199, 147

∴ So the LCM of the given numbers is 2 x 34 x 199 x 147 = 1989204

Least Common Multiple of 68,398,294 with GCF Formula

Least Common Multiple of 68,398,294 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 68,398,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,398,294) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(68,398,294) x common factors =2 x 2 = 4

LCM(68,398,294) = ( 68 × 398 × 294 ) / 4

LCM(68,398,294) = 7956816 / 4

LCM(68,398,294) = 1989204


Lets's calculate GCF of 93,99,987

3 93, 99, 987
31, 33, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1989204/3

Therefore the LCM of Fractions 68/93,398/99,294/987 is 663068

Greatest Common Factor of 93,99,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,99,987 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 987

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

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

Greatest Common Factor

We found the factors 93,99,987 . The biggest common factor number is the GCF number.
So the greatest common factor 93,99,987 is 3.


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 68/93, 398/99, 294/987

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 68/93, 398/99, 294/987?

Answer: LCM of Numerators as per given numbers 68/93, 398/99, 294/987 is

LCM of Numerators i.e. for 68,398,294 is 1989204

GCF of denominators i.e. for 93,99,987 is 3.

Thus, LCM of Fractions is 663068.Finally, LCM of Fractions for 68/93, 398/99, 294/987 is 663068.