LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 280, 379, 906, 302

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 280, 379, 906, 302 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 280, 379, 906, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,379,906,302

Given numbers are 280,379,906,302

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 280,379,906,302 is 48072360.

Find LCM of 280,379,906,302 with Prime Factorization


2 280, 379, 906, 302
151 140, 379, 453, 151
140, 379, 3, 1

Multiply the prime numbers at the bottom and the left side.

2 x 151 x 140 x 379 x 3 x 1 = 48072360

Therefore, the lowest common multiple of 280,379,906,302 is 48072360.

LCM Formula to Find Lowest Common Multiple of 280,379,906,302

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

280 x 379 x 906 x 302 = 29035705440

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

379 : 1, 379

906 : 1, 2, 3, 6, 151, 302, 453, 906

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,379,906,302, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

379:379

906:2x 3x 151

302:2x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 151 = 604

Therefore, the value for common factors is 604.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29035705440/(1x604)

LCM = 29035705440/604

LCM = 48072360

Thus, we can understand that the LCM of 280,379,906,302 is 48072360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 379, 906, 302

1. What is the LCM of 280, 379, 906, 302?

Answer: LCM of 280, 379, 906, 302 is 48072360.

2. How to calculate the LCM of 280, 379, 906, 302?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 280, 379, 906, 302.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.