Least Common Multiple of 873/61, 665/73, 689/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/61, 665/73, 689/448 quickly i.e. 399995505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/61, 665/73, 689/448 is 399995505.

LCM(873/61, 665/73, 689/448) = 399995505

LCM of 873/61, 665/73, 689/448

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 873/61,665/73,689/448

Given numbers are 873/61,665/73,689/448

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 873,665,689

Least Common Multiple of Numerators i.e. LCM of 873,665,689 is 399995505.

GCF of Denominators means GCF of 61,73,448 as per the given fractions.

GCF of 61,73,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,665,689

LCM of Fractions 873/61,665/73,689/448 is 399995505

Given numbers has no common factors except 1. So, there LCM is their product i.e 399995505

Least Common Multiple of 873,665,689 with GCF Formula

Least Common Multiple of 873,665,689 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 873,665,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,665,689) = 1

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

GCF(873,665,689) x common factors =1 x 1 = 1

LCM(873,665,689) = ( 873 × 665 × 689 ) / 1

LCM(873,665,689) = 399995505 / 1

LCM(873,665,689) = 399995505


Lets's calculate GCF of 61,73,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399995505/1

Therefore the LCM of Fractions 873/61,665/73,689/448 is 399995505

Greatest Common Factor of 61,73,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,73,448 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 61,73,448 . The biggest common factor number is the GCF number.
So the greatest common factor 61,73,448 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 873/61, 665/73, 689/448

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 873/61, 665/73, 689/448?

Answer: LCM of Numerators as per given numbers 873/61, 665/73, 689/448 is

LCM of Numerators i.e. for 873,665,689 is 399995505

GCF of denominators i.e. for 61,73,448 is 1.

Thus, LCM of Fractions is 399995505.Finally, LCM of Fractions for 873/61, 665/73, 689/448 is 399995505.