Least Common Multiple of 429/21, 159/23, 897/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/21, 159/23, 897/879 quickly i.e. 522951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/21, 159/23, 897/879 is 522951.

LCM(429/21, 159/23, 897/879) = 522951

LCM of 429/21, 159/23, 897/879

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 429/21,159/23,897/879

Given numbers are 429/21,159/23,897/879

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 429,159,897

Least Common Multiple of Numerators i.e. LCM of 429,159,897 is 522951.

GCF of Denominators means GCF of 21,23,879 as per the given fractions.

GCF of 21,23,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,159,897

LCM of Fractions 429/21,159/23,897/879 is 522951

3 429, 159, 897
13 143, 53, 299
11, 53, 23

∴ So the LCM of the given numbers is 3 x 13 x 11 x 53 x 23 = 522951

Least Common Multiple of 429,159,897 with GCF Formula

Least Common Multiple of 429,159,897 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 429,159,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,159,897) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(429,159,897) x common factors =3 x 39 = 117

LCM(429,159,897) = ( 429 × 159 × 897 ) / 117

LCM(429,159,897) = 61185267 / 117

LCM(429,159,897) = 522951


Lets's calculate GCF of 21,23,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522951/1

Therefore the LCM of Fractions 429/21,159/23,897/879 is 522951

Greatest Common Factor of 21,23,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,23,879 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 21,23,879 . The biggest common factor number is the GCF number.
So the greatest common factor 21,23,879 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 429/21, 159/23, 897/879

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 429/21, 159/23, 897/879?

Answer: LCM of Numerators as per given numbers 429/21, 159/23, 897/879 is

LCM of Numerators i.e. for 429,159,897 is 522951

GCF of denominators i.e. for 21,23,879 is 1.

Thus, LCM of Fractions is 522951.Finally, LCM of Fractions for 429/21, 159/23, 897/879 is 522951.