Least Common Multiple of 69/66, 342/14, 461/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/66, 342/14, 461/228 quickly i.e. 1813113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/66, 342/14, 461/228 is 1813113.

LCM(69/66, 342/14, 461/228) = 1813113

LCM of 69/66, 342/14, 461/228

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 69/66,342/14,461/228

Given numbers are 69/66,342/14,461/228

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 69,342,461

Least Common Multiple of Numerators i.e. LCM of 69,342,461 is 3626226.

GCF of Denominators means GCF of 66,14,228 as per the given fractions.

GCF of 66,14,228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,342,461

LCM of Fractions 69/66,342/14,461/228 is 1813113

3 69, 342, 461
23, 114, 461

∴ So the LCM of the given numbers is 3 x 23 x 114 x 461 = 3626226

Least Common Multiple of 69,342,461 with GCF Formula

Least Common Multiple of 69,342,461 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 69,342,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,342,461) = 1

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

GCF(69,342,461) x common factors =1 x 3 = 3

LCM(69,342,461) = ( 69 × 342 × 461 ) / 3

LCM(69,342,461) = 10878678 / 3

LCM(69,342,461) = 3626226


Lets's calculate GCF of 66,14,228

2 66, 14, 228
33, 7, 114

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3626226/2

Therefore the LCM of Fractions 69/66,342/14,461/228 is 1813113

Greatest Common Factor of 66,14,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,14,228 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 66,14,228 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,228 is 2.


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 69/66, 342/14, 461/228

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 69/66, 342/14, 461/228?

Answer: LCM of Numerators as per given numbers 69/66, 342/14, 461/228 is

LCM of Numerators i.e. for 69,342,461 is 3626226

GCF of denominators i.e. for 66,14,228 is 2.

Thus, LCM of Fractions is 1813113.Finally, LCM of Fractions for 69/66, 342/14, 461/228 is 1813113.