Least Common Multiple of 5/343, 69/212, 75/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/343, 69/212, 75/618 quickly i.e. 1725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/343, 69/212, 75/618 is 1725.

LCM(5/343, 69/212, 75/618) = 1725

LCM of 5/343, 69/212, 75/618

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 5/343,69/212,75/618

Given numbers are 5/343,69/212,75/618

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 5,69,75

Least Common Multiple of Numerators i.e. LCM of 5,69,75 is 1725.

GCF of Denominators means GCF of 343,212,618 as per the given fractions.

GCF of 343,212,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,69,75

LCM of Fractions 5/343,69/212,75/618 is 1725

3 5, 69, 75
5 5, 23, 25
1, 23, 5

∴ So the LCM of the given numbers is 3 x 5 x 1 x 23 x 5 = 1725

Least Common Multiple of 5,69,75 with GCF Formula

Least Common Multiple of 5,69,75 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 5,69,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,69,75) = 1

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

GCF(5,69,75) x common factors =1 x 15 = 15

LCM(5,69,75) = ( 5 × 69 × 75 ) / 15

LCM(5,69,75) = 25875 / 15

LCM(5,69,75) = 1725


Lets's calculate GCF of 343,212,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1725/1

Therefore the LCM of Fractions 5/343,69/212,75/618 is 1725

Greatest Common Factor of 343,212,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,212,618 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 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 343,212,618 . The biggest common factor number is the GCF number.
So the greatest common factor 343,212,618 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 5/343, 69/212, 75/618

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 5/343, 69/212, 75/618?

Answer: LCM of Numerators as per given numbers 5/343, 69/212, 75/618 is

LCM of Numerators i.e. for 5,69,75 is 1725

GCF of denominators i.e. for 343,212,618 is 1.

Thus, LCM of Fractions is 1725.Finally, LCM of Fractions for 5/343, 69/212, 75/618 is 1725.