Least Common Multiple of 81/80, 925/87, 775/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/80, 925/87, 775/417 quickly i.e. 2322675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/80, 925/87, 775/417 is 2322675.

LCM(81/80, 925/87, 775/417) = 2322675

LCM of 81/80, 925/87, 775/417

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 81/80,925/87,775/417

Given numbers are 81/80,925/87,775/417

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 81,925,775

Least Common Multiple of Numerators i.e. LCM of 81,925,775 is 2322675.

GCF of Denominators means GCF of 80,87,417 as per the given fractions.

GCF of 80,87,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,925,775

LCM of Fractions 81/80,925/87,775/417 is 2322675

5 81, 925, 775
5 81, 185, 155
81, 37, 31

∴ So the LCM of the given numbers is 5 x 5 x 81 x 37 x 31 = 2322675

Least Common Multiple of 81,925,775 with GCF Formula

Least Common Multiple of 81,925,775 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 81,925,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,925,775) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(81,925,775) x common factors =1 x 25 = 25

LCM(81,925,775) = ( 81 × 925 × 775 ) / 25

LCM(81,925,775) = 58066875 / 25

LCM(81,925,775) = 2322675


Lets's calculate GCF of 80,87,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322675/1

Therefore the LCM of Fractions 81/80,925/87,775/417 is 2322675

Greatest Common Factor of 80,87,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,87,417 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 80,87,417 . The biggest common factor number is the GCF number.
So the greatest common factor 80,87,417 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/80, 925/87, 775/417

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 81/80, 925/87, 775/417?

Answer: LCM of Numerators as per given numbers 81/80, 925/87, 775/417 is

LCM of Numerators i.e. for 81,925,775 is 2322675

GCF of denominators i.e. for 80,87,417 is 1.

Thus, LCM of Fractions is 2322675.Finally, LCM of Fractions for 81/80, 925/87, 775/417 is 2322675.