Least Common Multiple of 21/462, 38/801, 897/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/462, 38/801, 897/306 quickly i.e. 79534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/462, 38/801, 897/306 is 79534.

LCM(21/462, 38/801, 897/306) = 79534

LCM of 21/462, 38/801, 897/306

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 21/462,38/801,897/306

Given numbers are 21/462,38/801,897/306

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 21,38,897

Least Common Multiple of Numerators i.e. LCM of 21,38,897 is 238602.

GCF of Denominators means GCF of 462,801,306 as per the given fractions.

GCF of 462,801,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,38,897

LCM of Fractions 21/462,38/801,897/306 is 79534

3 21, 38, 897
7, 38, 299

∴ So the LCM of the given numbers is 3 x 7 x 38 x 299 = 238602

Least Common Multiple of 21,38,897 with GCF Formula

Least Common Multiple of 21,38,897 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 21,38,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,38,897) = 1

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

GCF(21,38,897) x common factors =1 x 3 = 3

LCM(21,38,897) = ( 21 × 38 × 897 ) / 3

LCM(21,38,897) = 715806 / 3

LCM(21,38,897) = 238602


Lets's calculate GCF of 462,801,306

3 462, 801, 306
154, 267, 102

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238602/3

Therefore the LCM of Fractions 21/462,38/801,897/306 is 79534

Greatest Common Factor of 462,801,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,801,306 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 462,801,306 . The biggest common factor number is the GCF number.
So the greatest common factor 462,801,306 is 3.


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 21/462, 38/801, 897/306

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 21/462, 38/801, 897/306?

Answer: LCM of Numerators as per given numbers 21/462, 38/801, 897/306 is

LCM of Numerators i.e. for 21,38,897 is 238602

GCF of denominators i.e. for 462,801,306 is 3.

Thus, LCM of Fractions is 79534.Finally, LCM of Fractions for 21/462, 38/801, 897/306 is 79534.