Least Common Multiple of 177/90, 221/31, 410/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/90, 221/31, 410/17 quickly i.e. 16037970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/90, 221/31, 410/17 is 16037970.

LCM(177/90, 221/31, 410/17) = 16037970

LCM of 177/90, 221/31, 410/17

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 177/90,221/31,410/17

Given numbers are 177/90,221/31,410/17

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 177,221,410

Least Common Multiple of Numerators i.e. LCM of 177,221,410 is 16037970.

GCF of Denominators means GCF of 90,31,17 as per the given fractions.

GCF of 90,31,17 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,221,410

LCM of Fractions 177/90,221/31,410/17 is 16037970

Given numbers has no common factors except 1. So, there LCM is their product i.e 16037970

Least Common Multiple of 177,221,410 with GCF Formula

Least Common Multiple of 177,221,410 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 177,221,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,221,410) = 1

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

GCF(177,221,410) x common factors =1 x 1 = 1

LCM(177,221,410) = ( 177 × 221 × 410 ) / 1

LCM(177,221,410) = 16037970 / 1

LCM(177,221,410) = 16037970


Lets's calculate GCF of 90,31,17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16037970/1

Therefore the LCM of Fractions 177/90,221/31,410/17 is 16037970

Greatest Common Factor of 90,31,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,31,17 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 90,31,17 . The biggest common factor number is the GCF number.
So the greatest common factor 90,31,17 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 177/90, 221/31, 410/17

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 177/90, 221/31, 410/17?

Answer: LCM of Numerators as per given numbers 177/90, 221/31, 410/17 is

LCM of Numerators i.e. for 177,221,410 is 16037970

GCF of denominators i.e. for 90,31,17 is 1.

Thus, LCM of Fractions is 16037970.Finally, LCM of Fractions for 177/90, 221/31, 410/17 is 16037970.