Least Common Multiple of 45/190, 64/334, 419/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/190, 64/334, 419/477 quickly i.e. 1206720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/190, 64/334, 419/477 is 1206720.

LCM(45/190, 64/334, 419/477) = 1206720

LCM of 45/190, 64/334, 419/477

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 45/190,64/334,419/477

Given numbers are 45/190,64/334,419/477

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 45,64,419

Least Common Multiple of Numerators i.e. LCM of 45,64,419 is 1206720.

GCF of Denominators means GCF of 190,334,477 as per the given fractions.

GCF of 190,334,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,64,419

LCM of Fractions 45/190,64/334,419/477 is 1206720

Given numbers has no common factors except 1. So, there LCM is their product i.e 1206720

Least Common Multiple of 45,64,419 with GCF Formula

Least Common Multiple of 45,64,419 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 45,64,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,64,419) = 1

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

GCF(45,64,419) x common factors =1 x 1 = 1

LCM(45,64,419) = ( 45 × 64 × 419 ) / 1

LCM(45,64,419) = 1206720 / 1

LCM(45,64,419) = 1206720


Lets's calculate GCF of 190,334,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206720/1

Therefore the LCM of Fractions 45/190,64/334,419/477 is 1206720

Greatest Common Factor of 190,334,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,334,477 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 190,334,477 . The biggest common factor number is the GCF number.
So the greatest common factor 190,334,477 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 45/190, 64/334, 419/477

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 45/190, 64/334, 419/477?

Answer: LCM of Numerators as per given numbers 45/190, 64/334, 419/477 is

LCM of Numerators i.e. for 45,64,419 is 1206720

GCF of denominators i.e. for 190,334,477 is 1.

Thus, LCM of Fractions is 1206720.Finally, LCM of Fractions for 45/190, 64/334, 419/477 is 1206720.