Least Common Multiple of 865/607, 807/266, 630/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 865/607, 807/266, 630/144 quickly i.e. 29318310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/607, 807/266, 630/144 is 29318310.

LCM(865/607, 807/266, 630/144) = 29318310

LCM of 865/607, 807/266, 630/144

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 865/607,807/266,630/144

Given numbers are 865/607,807/266,630/144

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 865,807,630

Least Common Multiple of Numerators i.e. LCM of 865,807,630 is 29318310.

GCF of Denominators means GCF of 607,266,144 as per the given fractions.

GCF of 607,266,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,807,630

LCM of Fractions 865/607,807/266,630/144 is 29318310

3 865, 807, 630
5 865, 269, 210
173, 269, 42

∴ So the LCM of the given numbers is 3 x 5 x 173 x 269 x 42 = 29318310

Least Common Multiple of 865,807,630 with GCF Formula

Least Common Multiple of 865,807,630 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 865,807,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,807,630) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(865,807,630) x common factors =1 x 15 = 15

LCM(865,807,630) = ( 865 × 807 × 630 ) / 15

LCM(865,807,630) = 439774650 / 15

LCM(865,807,630) = 29318310


Lets's calculate GCF of 607,266,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29318310/1

Therefore the LCM of Fractions 865/607,807/266,630/144 is 29318310

Greatest Common Factor of 607,266,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,266,144 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 607,266,144 . The biggest common factor number is the GCF number.
So the greatest common factor 607,266,144 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 865/607, 807/266, 630/144

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 865/607, 807/266, 630/144?

Answer: LCM of Numerators as per given numbers 865/607, 807/266, 630/144 is

LCM of Numerators i.e. for 865,807,630 is 29318310

GCF of denominators i.e. for 607,266,144 is 1.

Thus, LCM of Fractions is 29318310.Finally, LCM of Fractions for 865/607, 807/266, 630/144 is 29318310.