Least Common Multiple of 478/59, 344/7068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/59, 344/7068 quickly i.e. 82216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/59, 344/7068 is 82216.

LCM(478/59, 344/7068) = 82216

LCM of 478/59, 344/7068

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 478/59,344/7068

Given numbers are 478/59,344/7068

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 478,344

Least Common Multiple of Numerators i.e. LCM of 478,344 is 82216.

GCF of Denominators means GCF of 59,7068 as per the given fractions.

GCF of 59,7068 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,344

LCM of Fractions 478/59,344/7068 is 82216

2 478, 344
239, 172

∴ So the LCM of the given numbers is 2 x 239 x 172 = 82216

Least Common Multiple of 478,344 with GCF Formula

Least Common Multiple of 478,344 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 478,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,344) = 2

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

GCF(478,344) x common factors =2 x 1 = 2

LCM(478,344) = ( 478 × 344 ) / 2

LCM(478,344) = 164432 / 2

LCM(478,344) = 82216


Lets's calculate GCF of 59,7068

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82216/1

Therefore the LCM of Fractions 478/59,344/7068 is 82216

Greatest Common Factor of 59,7068 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,7068 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 7068

List of positive integer factors of 7068 that divides 7068 without a remainder.

1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068

Greatest Common Factor

We found the factors 59,7068 . The biggest common factor number is the GCF number.
So the greatest common factor 59,7068 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 478/59, 344/7068

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 478/59, 344/7068?

Answer: LCM of Numerators as per given numbers 478/59, 344/7068 is

LCM of Numerators i.e. for 478,344 is 82216

GCF of denominators i.e. for 59,7068 is 1.

Thus, LCM of Fractions is 82216.Finally, LCM of Fractions for 478/59, 344/7068 is 82216.