Least Common Multiple of 288/53, 185/45, 315/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/53, 185/45, 315/67 quickly i.e. 372960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/53, 185/45, 315/67 is 372960.

LCM(288/53, 185/45, 315/67) = 372960

LCM of 288/53, 185/45, 315/67

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 288/53,185/45,315/67

Given numbers are 288/53,185/45,315/67

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 288,185,315

Least Common Multiple of Numerators i.e. LCM of 288,185,315 is 372960.

GCF of Denominators means GCF of 53,45,67 as per the given fractions.

GCF of 53,45,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,185,315

LCM of Fractions 288/53,185/45,315/67 is 372960

3 288, 185, 315
3 96, 185, 105
5 32, 185, 35
32, 37, 7

∴ So the LCM of the given numbers is 3 x 3 x 5 x 32 x 37 x 7 = 372960

Least Common Multiple of 288,185,315 with GCF Formula

Least Common Multiple of 288,185,315 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 288,185,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,185,315) = 1

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

GCF(288,185,315) x common factors =1 x 45 = 45

LCM(288,185,315) = ( 288 × 185 × 315 ) / 45

LCM(288,185,315) = 16783200 / 45

LCM(288,185,315) = 372960


Lets's calculate GCF of 53,45,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372960/1

Therefore the LCM of Fractions 288/53,185/45,315/67 is 372960

Greatest Common Factor of 53,45,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,45,67 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 53,45,67 . The biggest common factor number is the GCF number.
So the greatest common factor 53,45,67 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 288/53, 185/45, 315/67

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 288/53, 185/45, 315/67?

Answer: LCM of Numerators as per given numbers 288/53, 185/45, 315/67 is

LCM of Numerators i.e. for 288,185,315 is 372960

GCF of denominators i.e. for 53,45,67 is 1.

Thus, LCM of Fractions is 372960.Finally, LCM of Fractions for 288/53, 185/45, 315/67 is 372960.