Least Common Multiple of 75/343, 205/969, 669/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/343, 205/969, 669/534 quickly i.e. 685725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/343, 205/969, 669/534 is 685725.

LCM(75/343, 205/969, 669/534) = 685725

LCM of 75/343, 205/969, 669/534

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 75/343,205/969,669/534

Given numbers are 75/343,205/969,669/534

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 75,205,669

Least Common Multiple of Numerators i.e. LCM of 75,205,669 is 685725.

GCF of Denominators means GCF of 343,969,534 as per the given fractions.

GCF of 343,969,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,205,669

LCM of Fractions 75/343,205/969,669/534 is 685725

3 75, 205, 669
5 25, 205, 223
5, 41, 223

∴ So the LCM of the given numbers is 3 x 5 x 5 x 41 x 223 = 685725

Least Common Multiple of 75,205,669 with GCF Formula

Least Common Multiple of 75,205,669 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 75,205,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,205,669) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,205,669) x common factors =1 x 15 = 15

LCM(75,205,669) = ( 75 × 205 × 669 ) / 15

LCM(75,205,669) = 10285875 / 15

LCM(75,205,669) = 685725


Lets's calculate GCF of 343,969,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685725/1

Therefore the LCM of Fractions 75/343,205/969,669/534 is 685725

Greatest Common Factor of 343,969,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,969,534 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

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 343,969,534 . The biggest common factor number is the GCF number.
So the greatest common factor 343,969,534 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 75/343, 205/969, 669/534

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 75/343, 205/969, 669/534?

Answer: LCM of Numerators as per given numbers 75/343, 205/969, 669/534 is

LCM of Numerators i.e. for 75,205,669 is 685725

GCF of denominators i.e. for 343,969,534 is 1.

Thus, LCM of Fractions is 685725.Finally, LCM of Fractions for 75/343, 205/969, 669/534 is 685725.