Least Common Multiple of 78/99, 86/94, 309/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/99, 86/94, 309/848 quickly i.e. 345462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/99, 86/94, 309/848 is 345462.

LCM(78/99, 86/94, 309/848) = 345462

LCM of 78/99, 86/94, 309/848

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 78/99,86/94,309/848

Given numbers are 78/99,86/94,309/848

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 78,86,309

Least Common Multiple of Numerators i.e. LCM of 78,86,309 is 345462.

GCF of Denominators means GCF of 99,94,848 as per the given fractions.

GCF of 99,94,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,86,309

LCM of Fractions 78/99,86/94,309/848 is 345462

2 78, 86, 309
3 39, 43, 309
13, 43, 103

∴ So the LCM of the given numbers is 2 x 3 x 13 x 43 x 103 = 345462

Least Common Multiple of 78,86,309 with GCF Formula

Least Common Multiple of 78,86,309 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 78,86,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,86,309) = 1

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

GCF(78,86,309) x common factors =1 x 6 = 6

LCM(78,86,309) = ( 78 × 86 × 309 ) / 6

LCM(78,86,309) = 2072772 / 6

LCM(78,86,309) = 345462


Lets's calculate GCF of 99,94,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345462/1

Therefore the LCM of Fractions 78/99,86/94,309/848 is 345462

Greatest Common Factor of 99,94,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,94,848 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 99,94,848 . The biggest common factor number is the GCF number.
So the greatest common factor 99,94,848 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 78/99, 86/94, 309/848

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 78/99, 86/94, 309/848?

Answer: LCM of Numerators as per given numbers 78/99, 86/94, 309/848 is

LCM of Numerators i.e. for 78,86,309 is 345462

GCF of denominators i.e. for 99,94,848 is 1.

Thus, LCM of Fractions is 345462.Finally, LCM of Fractions for 78/99, 86/94, 309/848 is 345462.