Least Common Multiple of 765/48, 690/17, 210/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/48, 690/17, 210/228 quickly i.e. 246330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/48, 690/17, 210/228 is 246330.

LCM(765/48, 690/17, 210/228) = 246330

LCM of 765/48, 690/17, 210/228

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 765/48,690/17,210/228

Given numbers are 765/48,690/17,210/228

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 765,690,210

Least Common Multiple of Numerators i.e. LCM of 765,690,210 is 246330.

GCF of Denominators means GCF of 48,17,228 as per the given fractions.

GCF of 48,17,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,690,210

LCM of Fractions 765/48,690/17,210/228 is 246330

2 765, 690, 210
3 765, 345, 105
5 255, 115, 35
51, 23, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 51 x 23 x 7 = 246330

Least Common Multiple of 765,690,210 with GCF Formula

Least Common Multiple of 765,690,210 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 765,690,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,690,210) = 15

common factors(in case of two or more numbers have common factors) = 30

GCF(765,690,210) x common factors =15 x 30 = 450

LCM(765,690,210) = ( 765 × 690 × 210 ) / 450

LCM(765,690,210) = 110848500 / 450

LCM(765,690,210) = 246330


Lets's calculate GCF of 48,17,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246330/1

Therefore the LCM of Fractions 765/48,690/17,210/228 is 246330

Greatest Common Factor of 48,17,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,17,228 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 48,17,228 . The biggest common factor number is the GCF number.
So the greatest common factor 48,17,228 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 765/48, 690/17, 210/228

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 765/48, 690/17, 210/228?

Answer: LCM of Numerators as per given numbers 765/48, 690/17, 210/228 is

LCM of Numerators i.e. for 765,690,210 is 246330

GCF of denominators i.e. for 48,17,228 is 1.

Thus, LCM of Fractions is 246330.Finally, LCM of Fractions for 765/48, 690/17, 210/228 is 246330.