Least Common Multiple of 15/34, 60/633, 650/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/34, 60/633, 650/441 quickly i.e. 3900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/34, 60/633, 650/441 is 3900.

LCM(15/34, 60/633, 650/441) = 3900

LCM of 15/34, 60/633, 650/441

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 15/34,60/633,650/441

Given numbers are 15/34,60/633,650/441

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 15,60,650

Least Common Multiple of Numerators i.e. LCM of 15,60,650 is 3900.

GCF of Denominators means GCF of 34,633,441 as per the given fractions.

GCF of 34,633,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,60,650

LCM of Fractions 15/34,60/633,650/441 is 3900

2 15, 60, 650
3 15, 30, 325
5 5, 10, 325
1, 2, 65

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 65 = 3900

Least Common Multiple of 15,60,650 with GCF Formula

Least Common Multiple of 15,60,650 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 15,60,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,60,650) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(15,60,650) x common factors =5 x 30 = 150

LCM(15,60,650) = ( 15 × 60 × 650 ) / 150

LCM(15,60,650) = 585000 / 150

LCM(15,60,650) = 3900


Lets's calculate GCF of 34,633,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3900/1

Therefore the LCM of Fractions 15/34,60/633,650/441 is 3900

Greatest Common Factor of 34,633,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,633,441 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 34,633,441 . The biggest common factor number is the GCF number.
So the greatest common factor 34,633,441 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 15/34, 60/633, 650/441

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 15/34, 60/633, 650/441?

Answer: LCM of Numerators as per given numbers 15/34, 60/633, 650/441 is

LCM of Numerators i.e. for 15,60,650 is 3900

GCF of denominators i.e. for 34,633,441 is 1.

Thus, LCM of Fractions is 3900.Finally, LCM of Fractions for 15/34, 60/633, 650/441 is 3900.