Least Common Multiple of 693/43, 172/11, 380/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/43, 172/11, 380/534 quickly i.e. 11323620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/43, 172/11, 380/534 is 11323620.

LCM(693/43, 172/11, 380/534) = 11323620

LCM of 693/43, 172/11, 380/534

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 693/43,172/11,380/534

Given numbers are 693/43,172/11,380/534

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 693,172,380

Least Common Multiple of Numerators i.e. LCM of 693,172,380 is 11323620.

GCF of Denominators means GCF of 43,11,534 as per the given fractions.

GCF of 43,11,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,172,380

LCM of Fractions 693/43,172/11,380/534 is 11323620

2 693, 172, 380
2 693, 86, 190
693, 43, 95

∴ So the LCM of the given numbers is 2 x 2 x 693 x 43 x 95 = 11323620

Least Common Multiple of 693,172,380 with GCF Formula

Least Common Multiple of 693,172,380 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 693,172,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,172,380) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(693,172,380) x common factors =1 x 4 = 4

LCM(693,172,380) = ( 693 × 172 × 380 ) / 4

LCM(693,172,380) = 45294480 / 4

LCM(693,172,380) = 11323620


Lets's calculate GCF of 43,11,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11323620/1

Therefore the LCM of Fractions 693/43,172/11,380/534 is 11323620

Greatest Common Factor of 43,11,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,11,534 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 43,11,534 . The biggest common factor number is the GCF number.
So the greatest common factor 43,11,534 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 693/43, 172/11, 380/534

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 693/43, 172/11, 380/534?

Answer: LCM of Numerators as per given numbers 693/43, 172/11, 380/534 is

LCM of Numerators i.e. for 693,172,380 is 11323620

GCF of denominators i.e. for 43,11,534 is 1.

Thus, LCM of Fractions is 11323620.Finally, LCM of Fractions for 693/43, 172/11, 380/534 is 11323620.