Least Common Multiple of 236/69, 1345/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 236/69, 1345/464 quickly i.e. 317420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/69, 1345/464 is 317420.

LCM(236/69, 1345/464) = 317420

LCM of 236/69, 1345/464

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 236/69,1345/464

Given numbers are 236/69,1345/464

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 236,1345

Least Common Multiple of Numerators i.e. LCM of 236,1345 is 317420.

GCF of Denominators means GCF of 69,464 as per the given fractions.

GCF of 69,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,1345

LCM of Fractions 236/69,1345/464 is 317420

Given numbers has no common factors except 1. So, there LCM is their product i.e 317420

Least Common Multiple of 236,1345 with GCF Formula

Least Common Multiple of 236,1345 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 236,1345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,1345) = 1

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

GCF(236,1345) x common factors =1 x 1 = 1

LCM(236,1345) = ( 236 × 1345 ) / 1

LCM(236,1345) = 317420 / 1

LCM(236,1345) = 317420


Lets's calculate GCF of 69,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317420/1

Therefore the LCM of Fractions 236/69,1345/464 is 317420

Greatest Common Factor of 69,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,464 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 69,464 . The biggest common factor number is the GCF number.
So the greatest common factor 69,464 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 236/69, 1345/464

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 236/69, 1345/464?

Answer: LCM of Numerators as per given numbers 236/69, 1345/464 is

LCM of Numerators i.e. for 236,1345 is 317420

GCF of denominators i.e. for 69,464 is 1.

Thus, LCM of Fractions is 317420.Finally, LCM of Fractions for 236/69, 1345/464 is 317420.