Least Common Multiple of 765/630, 127/232, 318/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/630, 127/232, 318/324 quickly i.e. 5149215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/630, 127/232, 318/324 is 5149215.

LCM(765/630, 127/232, 318/324) = 5149215

LCM of 765/630, 127/232, 318/324

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 765/630,127/232,318/324

Given numbers are 765/630,127/232,318/324

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 765,127,318

Least Common Multiple of Numerators i.e. LCM of 765,127,318 is 10298430.

GCF of Denominators means GCF of 630,232,324 as per the given fractions.

GCF of 630,232,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,127,318

LCM of Fractions 765/630,127/232,318/324 is 5149215

3 765, 127, 318
255, 127, 106

∴ So the LCM of the given numbers is 3 x 255 x 127 x 106 = 10298430

Least Common Multiple of 765,127,318 with GCF Formula

Least Common Multiple of 765,127,318 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 765,127,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,127,318) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(765,127,318) x common factors =1 x 3 = 3

LCM(765,127,318) = ( 765 × 127 × 318 ) / 3

LCM(765,127,318) = 30895290 / 3

LCM(765,127,318) = 10298430


Lets's calculate GCF of 630,232,324

2 630, 232, 324
315, 116, 162

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10298430/2

Therefore the LCM of Fractions 765/630,127/232,318/324 is 5149215

Greatest Common Factor of 630,232,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,232,324 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 630,232,324 . The biggest common factor number is the GCF number.
So the greatest common factor 630,232,324 is 2.


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 765/630, 127/232, 318/324

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 765/630, 127/232, 318/324?

Answer: LCM of Numerators as per given numbers 765/630, 127/232, 318/324 is

LCM of Numerators i.e. for 765,127,318 is 10298430

GCF of denominators i.e. for 630,232,324 is 2.

Thus, LCM of Fractions is 5149215.Finally, LCM of Fractions for 765/630, 127/232, 318/324 is 5149215.