Least Common Multiple of 62/61, 734/70, 759/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/61, 734/70, 759/675 quickly i.e. 17270286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/61, 734/70, 759/675 is 17270286.

LCM(62/61, 734/70, 759/675) = 17270286

LCM of 62/61, 734/70, 759/675

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 62/61,734/70,759/675

Given numbers are 62/61,734/70,759/675

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 62,734,759

Least Common Multiple of Numerators i.e. LCM of 62,734,759 is 17270286.

GCF of Denominators means GCF of 61,70,675 as per the given fractions.

GCF of 61,70,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,734,759

LCM of Fractions 62/61,734/70,759/675 is 17270286

2 62, 734, 759
31, 367, 759

∴ So the LCM of the given numbers is 2 x 31 x 367 x 759 = 17270286

Least Common Multiple of 62,734,759 with GCF Formula

Least Common Multiple of 62,734,759 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 62,734,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,734,759) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,734,759) x common factors =1 x 2 = 2

LCM(62,734,759) = ( 62 × 734 × 759 ) / 2

LCM(62,734,759) = 34540572 / 2

LCM(62,734,759) = 17270286


Lets's calculate GCF of 61,70,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17270286/1

Therefore the LCM of Fractions 62/61,734/70,759/675 is 17270286

Greatest Common Factor of 61,70,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,70,675 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 61,70,675 . The biggest common factor number is the GCF number.
So the greatest common factor 61,70,675 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 62/61, 734/70, 759/675

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 62/61, 734/70, 759/675?

Answer: LCM of Numerators as per given numbers 62/61, 734/70, 759/675 is

LCM of Numerators i.e. for 62,734,759 is 17270286

GCF of denominators i.e. for 61,70,675 is 1.

Thus, LCM of Fractions is 17270286.Finally, LCM of Fractions for 62/61, 734/70, 759/675 is 17270286.