Least Common Multiple of 469/69, 867/41, 454/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/69, 867/41, 454/686 quickly i.e. 184606842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/69, 867/41, 454/686 is 184606842.

LCM(469/69, 867/41, 454/686) = 184606842

LCM of 469/69, 867/41, 454/686

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 469/69,867/41,454/686

Given numbers are 469/69,867/41,454/686

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 469,867,454

Least Common Multiple of Numerators i.e. LCM of 469,867,454 is 184606842.

GCF of Denominators means GCF of 69,41,686 as per the given fractions.

GCF of 69,41,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,867,454

LCM of Fractions 469/69,867/41,454/686 is 184606842

Given numbers has no common factors except 1. So, there LCM is their product i.e 184606842

Least Common Multiple of 469,867,454 with GCF Formula

Least Common Multiple of 469,867,454 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 469,867,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,867,454) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(469,867,454) x common factors =1 x 1 = 1

LCM(469,867,454) = ( 469 × 867 × 454 ) / 1

LCM(469,867,454) = 184606842 / 1

LCM(469,867,454) = 184606842


Lets's calculate GCF of 69,41,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184606842/1

Therefore the LCM of Fractions 469/69,867/41,454/686 is 184606842

Greatest Common Factor of 69,41,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,41,686 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 69,41,686 . The biggest common factor number is the GCF number.
So the greatest common factor 69,41,686 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 469/69, 867/41, 454/686

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 469/69, 867/41, 454/686?

Answer: LCM of Numerators as per given numbers 469/69, 867/41, 454/686 is

LCM of Numerators i.e. for 469,867,454 is 184606842

GCF of denominators i.e. for 69,41,686 is 1.

Thus, LCM of Fractions is 184606842.Finally, LCM of Fractions for 469/69, 867/41, 454/686 is 184606842.