Least Common Multiple of 32/46, 61/69, 397/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/46, 61/69, 397/525 quickly i.e. 774944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/46, 61/69, 397/525 is 774944.

LCM(32/46, 61/69, 397/525) = 774944

LCM of 32/46, 61/69, 397/525

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 32/46,61/69,397/525

Given numbers are 32/46,61/69,397/525

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 32,61,397

Least Common Multiple of Numerators i.e. LCM of 32,61,397 is 774944.

GCF of Denominators means GCF of 46,69,525 as per the given fractions.

GCF of 46,69,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,61,397

LCM of Fractions 32/46,61/69,397/525 is 774944

Given numbers has no common factors except 1. So, there LCM is their product i.e 774944

Least Common Multiple of 32,61,397 with GCF Formula

Least Common Multiple of 32,61,397 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 32,61,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,61,397) = 1

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

GCF(32,61,397) x common factors =1 x 1 = 1

LCM(32,61,397) = ( 32 × 61 × 397 ) / 1

LCM(32,61,397) = 774944 / 1

LCM(32,61,397) = 774944


Lets's calculate GCF of 46,69,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774944/1

Therefore the LCM of Fractions 32/46,61/69,397/525 is 774944

Greatest Common Factor of 46,69,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,69,525 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 46,69,525 . The biggest common factor number is the GCF number.
So the greatest common factor 46,69,525 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 32/46, 61/69, 397/525

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 32/46, 61/69, 397/525?

Answer: LCM of Numerators as per given numbers 32/46, 61/69, 397/525 is

LCM of Numerators i.e. for 32,61,397 is 774944

GCF of denominators i.e. for 46,69,525 is 1.

Thus, LCM of Fractions is 774944.Finally, LCM of Fractions for 32/46, 61/69, 397/525 is 774944.