Least Common Multiple of 87/436, 923/792, 270/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/436, 923/792, 270/945 quickly i.e. 7227090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/436, 923/792, 270/945 is 7227090.

LCM(87/436, 923/792, 270/945) = 7227090

LCM of 87/436, 923/792, 270/945

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 87/436,923/792,270/945

Given numbers are 87/436,923/792,270/945

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 87,923,270

Least Common Multiple of Numerators i.e. LCM of 87,923,270 is 7227090.

GCF of Denominators means GCF of 436,792,945 as per the given fractions.

GCF of 436,792,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,923,270

LCM of Fractions 87/436,923/792,270/945 is 7227090

3 87, 923, 270
29, 923, 90

∴ So the LCM of the given numbers is 3 x 29 x 923 x 90 = 7227090

Least Common Multiple of 87,923,270 with GCF Formula

Least Common Multiple of 87,923,270 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 87,923,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,923,270) = 1

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

GCF(87,923,270) x common factors =1 x 3 = 3

LCM(87,923,270) = ( 87 × 923 × 270 ) / 3

LCM(87,923,270) = 21681270 / 3

LCM(87,923,270) = 7227090


Lets's calculate GCF of 436,792,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7227090/1

Therefore the LCM of Fractions 87/436,923/792,270/945 is 7227090

Greatest Common Factor of 436,792,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,792,945 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 436,792,945 . The biggest common factor number is the GCF number.
So the greatest common factor 436,792,945 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 87/436, 923/792, 270/945

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 87/436, 923/792, 270/945?

Answer: LCM of Numerators as per given numbers 87/436, 923/792, 270/945 is

LCM of Numerators i.e. for 87,923,270 is 7227090

GCF of denominators i.e. for 436,792,945 is 1.

Thus, LCM of Fractions is 7227090.Finally, LCM of Fractions for 87/436, 923/792, 270/945 is 7227090.