Least Common Multiple of 69/743, 43/947, 954/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/743, 43/947, 954/675 quickly i.e. 943506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/743, 43/947, 954/675 is 943506.

LCM(69/743, 43/947, 954/675) = 943506

LCM of 69/743, 43/947, 954/675

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 69/743,43/947,954/675

Given numbers are 69/743,43/947,954/675

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 69,43,954

Least Common Multiple of Numerators i.e. LCM of 69,43,954 is 943506.

GCF of Denominators means GCF of 743,947,675 as per the given fractions.

GCF of 743,947,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,43,954

LCM of Fractions 69/743,43/947,954/675 is 943506

3 69, 43, 954
23, 43, 318

∴ So the LCM of the given numbers is 3 x 23 x 43 x 318 = 943506

Least Common Multiple of 69,43,954 with GCF Formula

Least Common Multiple of 69,43,954 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 69,43,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,43,954) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,43,954) x common factors =1 x 3 = 3

LCM(69,43,954) = ( 69 × 43 × 954 ) / 3

LCM(69,43,954) = 2830518 / 3

LCM(69,43,954) = 943506


Lets's calculate GCF of 743,947,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943506/1

Therefore the LCM of Fractions 69/743,43/947,954/675 is 943506

Greatest Common Factor of 743,947,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,947,675 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 743,947,675 . The biggest common factor number is the GCF number.
So the greatest common factor 743,947,675 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 69/743, 43/947, 954/675

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 69/743, 43/947, 954/675?

Answer: LCM of Numerators as per given numbers 69/743, 43/947, 954/675 is

LCM of Numerators i.e. for 69,43,954 is 943506

GCF of denominators i.e. for 743,947,675 is 1.

Thus, LCM of Fractions is 943506.Finally, LCM of Fractions for 69/743, 43/947, 954/675 is 943506.