Least Common Multiple of 391/59, 759/68, 163/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 391/59, 759/68, 163/35 quickly i.e. 2103189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/59, 759/68, 163/35 is 2103189.

LCM(391/59, 759/68, 163/35) = 2103189

LCM of 391/59, 759/68, 163/35

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 391/59,759/68,163/35

Given numbers are 391/59,759/68,163/35

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 391,759,163

Least Common Multiple of Numerators i.e. LCM of 391,759,163 is 2103189.

GCF of Denominators means GCF of 59,68,35 as per the given fractions.

GCF of 59,68,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,759,163

LCM of Fractions 391/59,759/68,163/35 is 2103189

23 391, 759, 163
17, 33, 163

∴ So the LCM of the given numbers is 23 x 17 x 33 x 163 = 2103189

Least Common Multiple of 391,759,163 with GCF Formula

Least Common Multiple of 391,759,163 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 391,759,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,759,163) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(391,759,163) x common factors =1 x 23 = 23

LCM(391,759,163) = ( 391 × 759 × 163 ) / 23

LCM(391,759,163) = 48373347 / 23

LCM(391,759,163) = 2103189


Lets's calculate GCF of 59,68,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2103189/1

Therefore the LCM of Fractions 391/59,759/68,163/35 is 2103189

Greatest Common Factor of 59,68,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,68,35 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 59,68,35 . The biggest common factor number is the GCF number.
So the greatest common factor 59,68,35 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 391/59, 759/68, 163/35

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 391/59, 759/68, 163/35?

Answer: LCM of Numerators as per given numbers 391/59, 759/68, 163/35 is

LCM of Numerators i.e. for 391,759,163 is 2103189

GCF of denominators i.e. for 59,68,35 is 1.

Thus, LCM of Fractions is 2103189.Finally, LCM of Fractions for 391/59, 759/68, 163/35 is 2103189.