Least Common Multiple of 45/214, 49/433, 405/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/214, 49/433, 405/615 quickly i.e. 19845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/214, 49/433, 405/615 is 19845.

LCM(45/214, 49/433, 405/615) = 19845

LCM of 45/214, 49/433, 405/615

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 45/214,49/433,405/615

Given numbers are 45/214,49/433,405/615

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 45,49,405

Least Common Multiple of Numerators i.e. LCM of 45,49,405 is 19845.

GCF of Denominators means GCF of 214,433,615 as per the given fractions.

GCF of 214,433,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,49,405

LCM of Fractions 45/214,49/433,405/615 is 19845

3 45, 49, 405
3 15, 49, 135
5 5, 49, 45
1, 49, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 49 x 9 = 19845

Least Common Multiple of 45,49,405 with GCF Formula

Least Common Multiple of 45,49,405 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 45,49,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,49,405) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,49,405) x common factors =1 x 45 = 45

LCM(45,49,405) = ( 45 × 49 × 405 ) / 45

LCM(45,49,405) = 893025 / 45

LCM(45,49,405) = 19845


Lets's calculate GCF of 214,433,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19845/1

Therefore the LCM of Fractions 45/214,49/433,405/615 is 19845

Greatest Common Factor of 214,433,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,433,615 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 214,433,615 . The biggest common factor number is the GCF number.
So the greatest common factor 214,433,615 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 45/214, 49/433, 405/615

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 45/214, 49/433, 405/615?

Answer: LCM of Numerators as per given numbers 45/214, 49/433, 405/615 is

LCM of Numerators i.e. for 45,49,405 is 19845

GCF of denominators i.e. for 214,433,615 is 1.

Thus, LCM of Fractions is 19845.Finally, LCM of Fractions for 45/214, 49/433, 405/615 is 19845.