Least Common Multiple of 26/30, 35/43, 51/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/30, 35/43, 51/642 quickly i.e. 46410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/30, 35/43, 51/642 is 46410.

LCM(26/30, 35/43, 51/642) = 46410

LCM of 26/30, 35/43, 51/642

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 26/30,35/43,51/642

Given numbers are 26/30,35/43,51/642

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 26,35,51

Least Common Multiple of Numerators i.e. LCM of 26,35,51 is 46410.

GCF of Denominators means GCF of 30,43,642 as per the given fractions.

GCF of 30,43,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,35,51

LCM of Fractions 26/30,35/43,51/642 is 46410

Given numbers has no common factors except 1. So, there LCM is their product i.e 46410

Least Common Multiple of 26,35,51 with GCF Formula

Least Common Multiple of 26,35,51 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 26,35,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,35,51) = 1

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

GCF(26,35,51) x common factors =1 x 1 = 1

LCM(26,35,51) = ( 26 × 35 × 51 ) / 1

LCM(26,35,51) = 46410 / 1

LCM(26,35,51) = 46410


Lets's calculate GCF of 30,43,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46410/1

Therefore the LCM of Fractions 26/30,35/43,51/642 is 46410

Greatest Common Factor of 30,43,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,43,642 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 30,43,642 . The biggest common factor number is the GCF number.
So the greatest common factor 30,43,642 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 26/30, 35/43, 51/642

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 26/30, 35/43, 51/642?

Answer: LCM of Numerators as per given numbers 26/30, 35/43, 51/642 is

LCM of Numerators i.e. for 26,35,51 is 46410

GCF of denominators i.e. for 30,43,642 is 1.

Thus, LCM of Fractions is 46410.Finally, LCM of Fractions for 26/30, 35/43, 51/642 is 46410.