Least Common Multiple of 465/69, 833/9357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 465/69, 833/9357 quickly i.e. 129115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/69, 833/9357 is 129115.

LCM(465/69, 833/9357) = 129115

LCM of 465/69, 833/9357

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 465/69,833/9357

Given numbers are 465/69,833/9357

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 465,833

Least Common Multiple of Numerators i.e. LCM of 465,833 is 387345.

GCF of Denominators means GCF of 69,9357 as per the given fractions.

GCF of 69,9357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,833

LCM of Fractions 465/69,833/9357 is 129115

Given numbers has no common factors except 1. So, there LCM is their product i.e 387345

Least Common Multiple of 465,833 with GCF Formula

Least Common Multiple of 465,833 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 465,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,833) = 1

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

GCF(465,833) x common factors =1 x 1 = 1

LCM(465,833) = ( 465 × 833 ) / 1

LCM(465,833) = 387345 / 1

LCM(465,833) = 387345


Lets's calculate GCF of 69,9357

3 69, 9357
23, 3119

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387345/3

Therefore the LCM of Fractions 465/69,833/9357 is 129115

Greatest Common Factor of 69,9357 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,9357 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 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Greatest Common Factor

We found the factors 69,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 69,9357 is 3.


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 465/69, 833/9357

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 465/69, 833/9357?

Answer: LCM of Numerators as per given numbers 465/69, 833/9357 is

LCM of Numerators i.e. for 465,833 is 387345

GCF of denominators i.e. for 69,9357 is 3.

Thus, LCM of Fractions is 129115.Finally, LCM of Fractions for 465/69, 833/9357 is 129115.