Least Common Multiple of 736/462, 795/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/462, 795/239 quickly i.e. 585120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/462, 795/239 is 585120.

LCM(736/462, 795/239) = 585120

LCM of 736/462, 795/239

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 736/462,795/239

Given numbers are 736/462,795/239

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 736,795

Least Common Multiple of Numerators i.e. LCM of 736,795 is 585120.

GCF of Denominators means GCF of 462,239 as per the given fractions.

GCF of 462,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,795

LCM of Fractions 736/462,795/239 is 585120

Given numbers has no common factors except 1. So, there LCM is their product i.e 585120

Least Common Multiple of 736,795 with GCF Formula

Least Common Multiple of 736,795 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 736,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,795) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(736,795) x common factors =1 x 1 = 1

LCM(736,795) = ( 736 × 795 ) / 1

LCM(736,795) = 585120 / 1

LCM(736,795) = 585120


Lets's calculate GCF of 462,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585120/1

Therefore the LCM of Fractions 736/462,795/239 is 585120

Greatest Common Factor of 462,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,239 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 462,239 . The biggest common factor number is the GCF number.
So the greatest common factor 462,239 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 736/462, 795/239

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 736/462, 795/239?

Answer: LCM of Numerators as per given numbers 736/462, 795/239 is

LCM of Numerators i.e. for 736,795 is 585120

GCF of denominators i.e. for 462,239 is 1.

Thus, LCM of Fractions is 585120.Finally, LCM of Fractions for 736/462, 795/239 is 585120.