Least Common Multiple of 749/80, 841/72, 997/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/80, 841/72, 997/285 quickly i.e. 628019273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/80, 841/72, 997/285 is 628019273.

LCM(749/80, 841/72, 997/285) = 628019273

LCM of 749/80, 841/72, 997/285

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 749/80,841/72,997/285

Given numbers are 749/80,841/72,997/285

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 749,841,997

Least Common Multiple of Numerators i.e. LCM of 749,841,997 is 628019273.

GCF of Denominators means GCF of 80,72,285 as per the given fractions.

GCF of 80,72,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,841,997

LCM of Fractions 749/80,841/72,997/285 is 628019273

Given numbers has no common factors except 1. So, there LCM is their product i.e 628019273

Least Common Multiple of 749,841,997 with GCF Formula

Least Common Multiple of 749,841,997 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 749,841,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,841,997) = 1

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

GCF(749,841,997) x common factors =1 x 1 = 1

LCM(749,841,997) = ( 749 × 841 × 997 ) / 1

LCM(749,841,997) = 628019273 / 1

LCM(749,841,997) = 628019273


Lets's calculate GCF of 80,72,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628019273/1

Therefore the LCM of Fractions 749/80,841/72,997/285 is 628019273

Greatest Common Factor of 80,72,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,72,285 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 80,72,285 . The biggest common factor number is the GCF number.
So the greatest common factor 80,72,285 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 749/80, 841/72, 997/285

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 749/80, 841/72, 997/285?

Answer: LCM of Numerators as per given numbers 749/80, 841/72, 997/285 is

LCM of Numerators i.e. for 749,841,997 is 628019273

GCF of denominators i.e. for 80,72,285 is 1.

Thus, LCM of Fractions is 628019273.Finally, LCM of Fractions for 749/80, 841/72, 997/285 is 628019273.