Least Common Multiple of 423/69, 214/42, 456/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/69, 214/42, 456/824 quickly i.e. 6879672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/69, 214/42, 456/824 is 6879672.

LCM(423/69, 214/42, 456/824) = 6879672

LCM of 423/69, 214/42, 456/824

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 423/69,214/42,456/824

Given numbers are 423/69,214/42,456/824

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 423,214,456

Least Common Multiple of Numerators i.e. LCM of 423,214,456 is 6879672.

GCF of Denominators means GCF of 69,42,824 as per the given fractions.

GCF of 69,42,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,214,456

LCM of Fractions 423/69,214/42,456/824 is 6879672

2 423, 214, 456
3 423, 107, 228
141, 107, 76

∴ So the LCM of the given numbers is 2 x 3 x 141 x 107 x 76 = 6879672

Least Common Multiple of 423,214,456 with GCF Formula

Least Common Multiple of 423,214,456 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 423,214,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,214,456) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(423,214,456) x common factors =1 x 6 = 6

LCM(423,214,456) = ( 423 × 214 × 456 ) / 6

LCM(423,214,456) = 41278032 / 6

LCM(423,214,456) = 6879672


Lets's calculate GCF of 69,42,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6879672/1

Therefore the LCM of Fractions 423/69,214/42,456/824 is 6879672

Greatest Common Factor of 69,42,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,42,824 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 69,42,824 . The biggest common factor number is the GCF number.
So the greatest common factor 69,42,824 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 423/69, 214/42, 456/824

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 423/69, 214/42, 456/824?

Answer: LCM of Numerators as per given numbers 423/69, 214/42, 456/824 is

LCM of Numerators i.e. for 423,214,456 is 6879672

GCF of denominators i.e. for 69,42,824 is 1.

Thus, LCM of Fractions is 6879672.Finally, LCM of Fractions for 423/69, 214/42, 456/824 is 6879672.