Least Common Multiple of 905/469, 2615/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 905/469, 2615/201 quickly i.e. 473315/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/469, 2615/201 is 473315/67.

LCM(905/469, 2615/201) = 473315/67

LCM of 905/469, 2615/201

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 905/469,2615/201

Given numbers are 905/469,2615/201

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 905,2615

Least Common Multiple of Numerators i.e. LCM of 905,2615 is 473315.

GCF of Denominators means GCF of 469,201 as per the given fractions.

GCF of 469,201 is 67 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,2615

LCM of Fractions 905/469,2615/201 is 473315/67

5 905, 2615
181, 523

∴ So the LCM of the given numbers is 5 x 181 x 523 = 473315

Least Common Multiple of 905,2615 with GCF Formula

Least Common Multiple of 905,2615 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 905,2615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,2615) = 5

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

GCF(905,2615) x common factors =5 x 1 = 5

LCM(905,2615) = ( 905 × 2615 ) / 5

LCM(905,2615) = 2366575 / 5

LCM(905,2615) = 473315


Lets's calculate GCF of 469,201

67 469, 201
7, 3

∴ So the GCF of the given numbers is 67 = 67

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473315/67

Therefore the LCM of Fractions 905/469,2615/201 is 473315/67

Greatest Common Factor of 469,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,201 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 469,201 . The biggest common factor number is the GCF number.
So the greatest common factor 469,201 is 67.


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 905/469, 2615/201

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 905/469, 2615/201?

Answer: LCM of Numerators as per given numbers 905/469, 2615/201 is

LCM of Numerators i.e. for 905,2615 is 473315

GCF of denominators i.e. for 469,201 is 67.

Thus, LCM of Fractions is 473315/67.Finally, LCM of Fractions for 905/469, 2615/201 is 473315/67.