Least Common Multiple of 288/370, 5040/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/370, 5040/201 quickly i.e. 10080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/370, 5040/201 is 10080.

LCM(288/370, 5040/201) = 10080

LCM of 288/370, 5040/201

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 288/370,5040/201

Given numbers are 288/370,5040/201

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 288,5040

Least Common Multiple of Numerators i.e. LCM of 288,5040 is 10080.

GCF of Denominators means GCF of 370,201 as per the given fractions.

GCF of 370,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,5040

LCM of Fractions 288/370,5040/201 is 10080

2 288, 5040
2 144, 2520
2 72, 1260
2 36, 630
3 18, 315
3 6, 105
2, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 2 x 35 = 10080

Least Common Multiple of 288,5040 with GCF Formula

Least Common Multiple of 288,5040 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 288,5040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,5040) = 144

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

GCF(288,5040) x common factors =144 x 1 = 144

LCM(288,5040) = ( 288 × 5040 ) / 144

LCM(288,5040) = 1451520 / 144

LCM(288,5040) = 10080


Lets's calculate GCF of 370,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10080/1

Therefore the LCM of Fractions 288/370,5040/201 is 10080

Greatest Common Factor of 370,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,201 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

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 370,201 . The biggest common factor number is the GCF number.
So the greatest common factor 370,201 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 288/370, 5040/201

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 288/370, 5040/201?

Answer: LCM of Numerators as per given numbers 288/370, 5040/201 is

LCM of Numerators i.e. for 288,5040 is 10080

GCF of denominators i.e. for 370,201 is 1.

Thus, LCM of Fractions is 10080.Finally, LCM of Fractions for 288/370, 5040/201 is 10080.