Least Common Multiple of 32/961, 612/612, 765/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/961, 612/612, 765/498 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/961, 612/612, 765/498 is 24480.

LCM(32/961, 612/612, 765/498) = 24480

LCM of 32/961, 612/612, 765/498

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 32/961,612/612,765/498

Given numbers are 32/961,612/612,765/498

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 32,612,765

Least Common Multiple of Numerators i.e. LCM of 32,612,765 is 24480.

GCF of Denominators means GCF of 961,612,498 as per the given fractions.

GCF of 961,612,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,612,765

LCM of Fractions 32/961,612/612,765/498 is 24480

2 32, 612, 765
2 16, 306, 765
3 8, 153, 765
3 8, 51, 255
17 8, 17, 85
8, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 8 x 1 x 5 = 24480

Least Common Multiple of 32,612,765 with GCF Formula

Least Common Multiple of 32,612,765 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 32,612,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,612,765) = 1

common factors(in case of two or more numbers have common factors) = 612

GCF(32,612,765) x common factors =1 x 612 = 612

LCM(32,612,765) = ( 32 × 612 × 765 ) / 612

LCM(32,612,765) = 14981760 / 612

LCM(32,612,765) = 24480


Lets's calculate GCF of 961,612,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 32/961,612/612,765/498 is 24480

Greatest Common Factor of 961,612,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,612,498 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 961,612,498 . The biggest common factor number is the GCF number.
So the greatest common factor 961,612,498 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 32/961, 612/612, 765/498

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 32/961, 612/612, 765/498?

Answer: LCM of Numerators as per given numbers 32/961, 612/612, 765/498 is

LCM of Numerators i.e. for 32,612,765 is 24480

GCF of denominators i.e. for 961,612,498 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 32/961, 612/612, 765/498 is 24480.