Least Common Multiple of 20/74, 306/14, 962/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/74, 306/14, 962/447 quickly i.e. 1471860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/74, 306/14, 962/447 is 1471860.

LCM(20/74, 306/14, 962/447) = 1471860

LCM of 20/74, 306/14, 962/447

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 20/74,306/14,962/447

Given numbers are 20/74,306/14,962/447

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 20,306,962

Least Common Multiple of Numerators i.e. LCM of 20,306,962 is 1471860.

GCF of Denominators means GCF of 74,14,447 as per the given fractions.

GCF of 74,14,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,306,962

LCM of Fractions 20/74,306/14,962/447 is 1471860

2 20, 306, 962
10, 153, 481

∴ So the LCM of the given numbers is 2 x 10 x 153 x 481 = 1471860

Least Common Multiple of 20,306,962 with GCF Formula

Least Common Multiple of 20,306,962 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 20,306,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,306,962) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(20,306,962) x common factors =2 x 2 = 4

LCM(20,306,962) = ( 20 × 306 × 962 ) / 4

LCM(20,306,962) = 5887440 / 4

LCM(20,306,962) = 1471860


Lets's calculate GCF of 74,14,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1471860/1

Therefore the LCM of Fractions 20/74,306/14,962/447 is 1471860

Greatest Common Factor of 74,14,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,14,447 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 14

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

1,2,7,14

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 74,14,447 . The biggest common factor number is the GCF number.
So the greatest common factor 74,14,447 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 20/74, 306/14, 962/447

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 20/74, 306/14, 962/447?

Answer: LCM of Numerators as per given numbers 20/74, 306/14, 962/447 is

LCM of Numerators i.e. for 20,306,962 is 1471860

GCF of denominators i.e. for 74,14,447 is 1.

Thus, LCM of Fractions is 1471860.Finally, LCM of Fractions for 20/74, 306/14, 962/447 is 1471860.