Least Common Multiple of 26/21, 69/86, 735/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/21, 69/86, 735/58 quickly i.e. 439530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/21, 69/86, 735/58 is 439530.

LCM(26/21, 69/86, 735/58) = 439530

LCM of 26/21, 69/86, 735/58

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 26/21,69/86,735/58

Given numbers are 26/21,69/86,735/58

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 26,69,735

Least Common Multiple of Numerators i.e. LCM of 26,69,735 is 439530.

GCF of Denominators means GCF of 21,86,58 as per the given fractions.

GCF of 21,86,58 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,69,735

LCM of Fractions 26/21,69/86,735/58 is 439530

3 26, 69, 735
26, 23, 245

∴ So the LCM of the given numbers is 3 x 26 x 23 x 245 = 439530

Least Common Multiple of 26,69,735 with GCF Formula

Least Common Multiple of 26,69,735 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 26,69,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,69,735) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(26,69,735) x common factors =1 x 3 = 3

LCM(26,69,735) = ( 26 × 69 × 735 ) / 3

LCM(26,69,735) = 1318590 / 3

LCM(26,69,735) = 439530


Lets's calculate GCF of 21,86,58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439530/1

Therefore the LCM of Fractions 26/21,69/86,735/58 is 439530

Greatest Common Factor of 21,86,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,86,58 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 21,86,58 . The biggest common factor number is the GCF number.
So the greatest common factor 21,86,58 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 26/21, 69/86, 735/58

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 26/21, 69/86, 735/58?

Answer: LCM of Numerators as per given numbers 26/21, 69/86, 735/58 is

LCM of Numerators i.e. for 26,69,735 is 439530

GCF of denominators i.e. for 21,86,58 is 1.

Thus, LCM of Fractions is 439530.Finally, LCM of Fractions for 26/21, 69/86, 735/58 is 439530.