Least Common Multiple of 69/325, 783/385, 460/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/325, 783/385, 460/733 quickly i.e. 360180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/325, 783/385, 460/733 is 360180.

LCM(69/325, 783/385, 460/733) = 360180

LCM of 69/325, 783/385, 460/733

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 69/325,783/385,460/733

Given numbers are 69/325,783/385,460/733

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 69,783,460

Least Common Multiple of Numerators i.e. LCM of 69,783,460 is 360180.

GCF of Denominators means GCF of 325,385,733 as per the given fractions.

GCF of 325,385,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,783,460

LCM of Fractions 69/325,783/385,460/733 is 360180

3 69, 783, 460
23 23, 261, 460
1, 261, 20

∴ So the LCM of the given numbers is 3 x 23 x 1 x 261 x 20 = 360180

Least Common Multiple of 69,783,460 with GCF Formula

Least Common Multiple of 69,783,460 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 69,783,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,783,460) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(69,783,460) x common factors =1 x 69 = 69

LCM(69,783,460) = ( 69 × 783 × 460 ) / 69

LCM(69,783,460) = 24852420 / 69

LCM(69,783,460) = 360180


Lets's calculate GCF of 325,385,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360180/1

Therefore the LCM of Fractions 69/325,783/385,460/733 is 360180

Greatest Common Factor of 325,385,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,385,733 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 325,385,733 . The biggest common factor number is the GCF number.
So the greatest common factor 325,385,733 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 69/325, 783/385, 460/733

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 69/325, 783/385, 460/733?

Answer: LCM of Numerators as per given numbers 69/325, 783/385, 460/733 is

LCM of Numerators i.e. for 69,783,460 is 360180

GCF of denominators i.e. for 325,385,733 is 1.

Thus, LCM of Fractions is 360180.Finally, LCM of Fractions for 69/325, 783/385, 460/733 is 360180.