Least Common Multiple of 873/763, 277/271, 247/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/763, 277/271, 247/814 quickly i.e. 59729787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/763, 277/271, 247/814 is 59729787.

LCM(873/763, 277/271, 247/814) = 59729787

LCM of 873/763, 277/271, 247/814

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 873/763,277/271,247/814

Given numbers are 873/763,277/271,247/814

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 873,277,247

Least Common Multiple of Numerators i.e. LCM of 873,277,247 is 59729787.

GCF of Denominators means GCF of 763,271,814 as per the given fractions.

GCF of 763,271,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,277,247

LCM of Fractions 873/763,277/271,247/814 is 59729787

Given numbers has no common factors except 1. So, there LCM is their product i.e 59729787

Least Common Multiple of 873,277,247 with GCF Formula

Least Common Multiple of 873,277,247 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 873,277,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,277,247) = 1

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

GCF(873,277,247) x common factors =1 x 1 = 1

LCM(873,277,247) = ( 873 × 277 × 247 ) / 1

LCM(873,277,247) = 59729787 / 1

LCM(873,277,247) = 59729787


Lets's calculate GCF of 763,271,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59729787/1

Therefore the LCM of Fractions 873/763,277/271,247/814 is 59729787

Greatest Common Factor of 763,271,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,271,814 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 763,271,814 . The biggest common factor number is the GCF number.
So the greatest common factor 763,271,814 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 873/763, 277/271, 247/814

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 873/763, 277/271, 247/814?

Answer: LCM of Numerators as per given numbers 873/763, 277/271, 247/814 is

LCM of Numerators i.e. for 873,277,247 is 59729787

GCF of denominators i.e. for 763,271,814 is 1.

Thus, LCM of Fractions is 59729787.Finally, LCM of Fractions for 873/763, 277/271, 247/814 is 59729787.