Least Common Multiple of 971/12, 414/63, 405/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/12, 414/63, 405/525 quickly i.e. 6029910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/12, 414/63, 405/525 is 6029910.

LCM(971/12, 414/63, 405/525) = 6029910

LCM of 971/12, 414/63, 405/525

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 971/12,414/63,405/525

Given numbers are 971/12,414/63,405/525

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 971,414,405

Least Common Multiple of Numerators i.e. LCM of 971,414,405 is 18089730.

GCF of Denominators means GCF of 12,63,525 as per the given fractions.

GCF of 12,63,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,414,405

LCM of Fractions 971/12,414/63,405/525 is 6029910

3 971, 414, 405
3 971, 138, 135
971, 46, 45

∴ So the LCM of the given numbers is 3 x 3 x 971 x 46 x 45 = 18089730

Least Common Multiple of 971,414,405 with GCF Formula

Least Common Multiple of 971,414,405 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 971,414,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,414,405) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(971,414,405) x common factors =1 x 9 = 9

LCM(971,414,405) = ( 971 × 414 × 405 ) / 9

LCM(971,414,405) = 162807570 / 9

LCM(971,414,405) = 18089730


Lets's calculate GCF of 12,63,525

3 12, 63, 525
4, 21, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18089730/3

Therefore the LCM of Fractions 971/12,414/63,405/525 is 6029910

Greatest Common Factor of 12,63,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,63,525 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 63

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

1,3,7,9,21,63

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 12,63,525 . The biggest common factor number is the GCF number.
So the greatest common factor 12,63,525 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 971/12, 414/63, 405/525

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 971/12, 414/63, 405/525?

Answer: LCM of Numerators as per given numbers 971/12, 414/63, 405/525 is

LCM of Numerators i.e. for 971,414,405 is 18089730

GCF of denominators i.e. for 12,63,525 is 3.

Thus, LCM of Fractions is 6029910.Finally, LCM of Fractions for 971/12, 414/63, 405/525 is 6029910.