Least Common Multiple of 69/742, 23/530, 833/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/742, 23/530, 833/347 quickly i.e. 57477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/742, 23/530, 833/347 is 57477.

LCM(69/742, 23/530, 833/347) = 57477

LCM of 69/742, 23/530, 833/347

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 69/742,23/530,833/347

Given numbers are 69/742,23/530,833/347

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 69,23,833

Least Common Multiple of Numerators i.e. LCM of 69,23,833 is 57477.

GCF of Denominators means GCF of 742,530,347 as per the given fractions.

GCF of 742,530,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,23,833

LCM of Fractions 69/742,23/530,833/347 is 57477

23 69, 23, 833
3, 1, 833

∴ So the LCM of the given numbers is 23 x 3 x 1 x 833 = 57477

Least Common Multiple of 69,23,833 with GCF Formula

Least Common Multiple of 69,23,833 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 69,23,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,23,833) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(69,23,833) x common factors =1 x 23 = 23

LCM(69,23,833) = ( 69 × 23 × 833 ) / 23

LCM(69,23,833) = 1321971 / 23

LCM(69,23,833) = 57477


Lets's calculate GCF of 742,530,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57477/1

Therefore the LCM of Fractions 69/742,23/530,833/347 is 57477

Greatest Common Factor of 742,530,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,530,347 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 742,530,347 . The biggest common factor number is the GCF number.
So the greatest common factor 742,530,347 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 69/742, 23/530, 833/347

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 69/742, 23/530, 833/347?

Answer: LCM of Numerators as per given numbers 69/742, 23/530, 833/347 is

LCM of Numerators i.e. for 69,23,833 is 57477

GCF of denominators i.e. for 742,530,347 is 1.

Thus, LCM of Fractions is 57477.Finally, LCM of Fractions for 69/742, 23/530, 833/347 is 57477.