Least Common Multiple of 35/675, 68/853, 737/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/675, 68/853, 737/529 quickly i.e. 1754060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/675, 68/853, 737/529 is 1754060.

LCM(35/675, 68/853, 737/529) = 1754060

LCM of 35/675, 68/853, 737/529

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 35/675,68/853,737/529

Given numbers are 35/675,68/853,737/529

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 35,68,737

Least Common Multiple of Numerators i.e. LCM of 35,68,737 is 1754060.

GCF of Denominators means GCF of 675,853,529 as per the given fractions.

GCF of 675,853,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,68,737

LCM of Fractions 35/675,68/853,737/529 is 1754060

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754060

Least Common Multiple of 35,68,737 with GCF Formula

Least Common Multiple of 35,68,737 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 35,68,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,68,737) = 1

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

GCF(35,68,737) x common factors =1 x 1 = 1

LCM(35,68,737) = ( 35 × 68 × 737 ) / 1

LCM(35,68,737) = 1754060 / 1

LCM(35,68,737) = 1754060


Lets's calculate GCF of 675,853,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1754060/1

Therefore the LCM of Fractions 35/675,68/853,737/529 is 1754060

Greatest Common Factor of 675,853,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,853,529 By Matching Biggest Common Factor Method

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

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 675,853,529 . The biggest common factor number is the GCF number.
So the greatest common factor 675,853,529 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 35/675, 68/853, 737/529

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 35/675, 68/853, 737/529?

Answer: LCM of Numerators as per given numbers 35/675, 68/853, 737/529 is

LCM of Numerators i.e. for 35,68,737 is 1754060

GCF of denominators i.e. for 675,853,529 is 1.

Thus, LCM of Fractions is 1754060.Finally, LCM of Fractions for 35/675, 68/853, 737/529 is 1754060.