Least Common Multiple of 1971/63, 9459/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1971/63, 9459/207 quickly i.e. 230169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1971/63, 9459/207 is 230169.

LCM(1971/63, 9459/207) = 230169

LCM of 1971/63, 9459/207

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 1971/63,9459/207

Given numbers are 1971/63,9459/207

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 1971,9459

Least Common Multiple of Numerators i.e. LCM of 1971,9459 is 2071521.

GCF of Denominators means GCF of 63,207 as per the given fractions.

GCF of 63,207 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1971,9459

LCM of Fractions 1971/63,9459/207 is 230169

3 1971, 9459
3 657, 3153
219, 1051

∴ So the LCM of the given numbers is 3 x 3 x 219 x 1051 = 2071521

Least Common Multiple of 1971,9459 with GCF Formula

Least Common Multiple of 1971,9459 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 1971,9459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1971,9459) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(1971,9459) x common factors =9 x 1 = 9

LCM(1971,9459) = ( 1971 × 9459 ) / 9

LCM(1971,9459) = 18643689 / 9

LCM(1971,9459) = 2071521


Lets's calculate GCF of 63,207

3 63, 207
3 21, 69
7, 23

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2071521/9

Therefore the LCM of Fractions 1971/63,9459/207 is 230169

Greatest Common Factor of 63,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,207 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 63,207 . The biggest common factor number is the GCF number.
So the greatest common factor 63,207 is 9.


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 1971/63, 9459/207

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 1971/63, 9459/207?

Answer: LCM of Numerators as per given numbers 1971/63, 9459/207 is

LCM of Numerators i.e. for 1971,9459 is 2071521

GCF of denominators i.e. for 63,207 is 9.

Thus, LCM of Fractions is 230169.Finally, LCM of Fractions for 1971/63, 9459/207 is 230169.