Least Common Multiple of 434/15, 956/45, 471/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/15, 956/45, 471/647 quickly i.e. 97709892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/15, 956/45, 471/647 is 97709892.

LCM(434/15, 956/45, 471/647) = 97709892

LCM of 434/15, 956/45, 471/647

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 434/15,956/45,471/647

Given numbers are 434/15,956/45,471/647

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 434,956,471

Least Common Multiple of Numerators i.e. LCM of 434,956,471 is 97709892.

GCF of Denominators means GCF of 15,45,647 as per the given fractions.

GCF of 15,45,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,956,471

LCM of Fractions 434/15,956/45,471/647 is 97709892

2 434, 956, 471
217, 478, 471

∴ So the LCM of the given numbers is 2 x 217 x 478 x 471 = 97709892

Least Common Multiple of 434,956,471 with GCF Formula

Least Common Multiple of 434,956,471 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 434,956,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,956,471) = 1

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

GCF(434,956,471) x common factors =1 x 2 = 2

LCM(434,956,471) = ( 434 × 956 × 471 ) / 2

LCM(434,956,471) = 195419784 / 2

LCM(434,956,471) = 97709892


Lets's calculate GCF of 15,45,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97709892/1

Therefore the LCM of Fractions 434/15,956/45,471/647 is 97709892

Greatest Common Factor of 15,45,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,45,647 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 15,45,647 . The biggest common factor number is the GCF number.
So the greatest common factor 15,45,647 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 434/15, 956/45, 471/647

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 434/15, 956/45, 471/647?

Answer: LCM of Numerators as per given numbers 434/15, 956/45, 471/647 is

LCM of Numerators i.e. for 434,956,471 is 97709892

GCF of denominators i.e. for 15,45,647 is 1.

Thus, LCM of Fractions is 97709892.Finally, LCM of Fractions for 434/15, 956/45, 471/647 is 97709892.