Least Common Multiple of 221/50, 8465/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/50, 8465/415 quickly i.e. 374153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/50, 8465/415 is 374153.

LCM(221/50, 8465/415) = 374153

LCM of 221/50, 8465/415

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 221/50,8465/415

Given numbers are 221/50,8465/415

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 221,8465

Least Common Multiple of Numerators i.e. LCM of 221,8465 is 1870765.

GCF of Denominators means GCF of 50,415 as per the given fractions.

GCF of 50,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,8465

LCM of Fractions 221/50,8465/415 is 374153

Given numbers has no common factors except 1. So, there LCM is their product i.e 1870765

Least Common Multiple of 221,8465 with GCF Formula

Least Common Multiple of 221,8465 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 221,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,8465) = 1

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

GCF(221,8465) x common factors =1 x 1 = 1

LCM(221,8465) = ( 221 × 8465 ) / 1

LCM(221,8465) = 1870765 / 1

LCM(221,8465) = 1870765


Lets's calculate GCF of 50,415

5 50, 415
10, 83

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1870765/5

Therefore the LCM of Fractions 221/50,8465/415 is 374153

Greatest Common Factor of 50,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,415 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 50,415 . The biggest common factor number is the GCF number.
So the greatest common factor 50,415 is 5.


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 221/50, 8465/415

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 221/50, 8465/415?

Answer: LCM of Numerators as per given numbers 221/50, 8465/415 is

LCM of Numerators i.e. for 221,8465 is 1870765

GCF of denominators i.e. for 50,415 is 5.

Thus, LCM of Fractions is 374153.Finally, LCM of Fractions for 221/50, 8465/415 is 374153.