Least Common Multiple of 1540/361, 9007/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1540/361, 9007/294 quickly i.e. 13870780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1540/361, 9007/294 is 13870780.

LCM(1540/361, 9007/294) = 13870780

LCM of 1540/361, 9007/294

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 1540/361,9007/294

Given numbers are 1540/361,9007/294

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 1540,9007

Least Common Multiple of Numerators i.e. LCM of 1540,9007 is 13870780.

GCF of Denominators means GCF of 361,294 as per the given fractions.

GCF of 361,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1540,9007

LCM of Fractions 1540/361,9007/294 is 13870780

Given numbers has no common factors except 1. So, there LCM is their product i.e 13870780

Least Common Multiple of 1540,9007 with GCF Formula

Least Common Multiple of 1540,9007 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 1540,9007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1540,9007) = 1

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

GCF(1540,9007) x common factors =1 x 1 = 1

LCM(1540,9007) = ( 1540 × 9007 ) / 1

LCM(1540,9007) = 13870780 / 1

LCM(1540,9007) = 13870780


Lets's calculate GCF of 361,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13870780/1

Therefore the LCM of Fractions 1540/361,9007/294 is 13870780

Greatest Common Factor of 361,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,294 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 361,294 . The biggest common factor number is the GCF number.
So the greatest common factor 361,294 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 1540/361, 9007/294

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 1540/361, 9007/294?

Answer: LCM of Numerators as per given numbers 1540/361, 9007/294 is

LCM of Numerators i.e. for 1540,9007 is 13870780

GCF of denominators i.e. for 361,294 is 1.

Thus, LCM of Fractions is 13870780.Finally, LCM of Fractions for 1540/361, 9007/294 is 13870780.