Least Common Multiple of 78/46, 94/22, 63/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/46, 94/22, 63/982 quickly i.e. 38493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/46, 94/22, 63/982 is 38493.

LCM(78/46, 94/22, 63/982) = 38493

LCM of 78/46, 94/22, 63/982

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 78/46,94/22,63/982

Given numbers are 78/46,94/22,63/982

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 78,94,63

Least Common Multiple of Numerators i.e. LCM of 78,94,63 is 76986.

GCF of Denominators means GCF of 46,22,982 as per the given fractions.

GCF of 46,22,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,94,63

LCM of Fractions 78/46,94/22,63/982 is 38493

2 78, 94, 63
3 39, 47, 63
13, 47, 21

∴ So the LCM of the given numbers is 2 x 3 x 13 x 47 x 21 = 76986

Least Common Multiple of 78,94,63 with GCF Formula

Least Common Multiple of 78,94,63 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 78,94,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,94,63) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,94,63) x common factors =1 x 6 = 6

LCM(78,94,63) = ( 78 × 94 × 63 ) / 6

LCM(78,94,63) = 461916 / 6

LCM(78,94,63) = 76986


Lets's calculate GCF of 46,22,982

2 46, 22, 982
23, 11, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76986/2

Therefore the LCM of Fractions 78/46,94/22,63/982 is 38493

Greatest Common Factor of 46,22,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,22,982 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 22

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

1,2,11,22

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 46,22,982 . The biggest common factor number is the GCF number.
So the greatest common factor 46,22,982 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 78/46, 94/22, 63/982

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 78/46, 94/22, 63/982?

Answer: LCM of Numerators as per given numbers 78/46, 94/22, 63/982 is

LCM of Numerators i.e. for 78,94,63 is 76986

GCF of denominators i.e. for 46,22,982 is 2.

Thus, LCM of Fractions is 38493.Finally, LCM of Fractions for 78/46, 94/22, 63/982 is 38493.