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LCM of 613, 928, 507, 208

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


Find the LCM of 613, 928, 507, 208 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 613, 928, 507, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,928,507,208

Given numbers are 613,928,507,208

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

The LCM of 613,928,507,208 is 288414048.

Find LCM of 613,928,507,208 with Prime Factorization


2 613, 928, 507, 208
2 613, 464, 507, 104
2 613, 232, 507, 52
2 613, 116, 507, 26
13 613, 58, 507, 13
613, 58, 39, 1

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

2 x 2 x 2 x 2 x 13 x 613 x 58 x 39 x 1 = 288414048

Therefore, the lowest common multiple of 613,928,507,208 is 288414048.

LCM Formula to Find Lowest Common Multiple of 613,928,507,208

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.

613 x 928 x 507 x 208 = 59990121984

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.

613 : 1, 613

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

507 : 1, 3, 13, 39, 169, 507

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,928,507,208, is 1.

Now, the common factors can be found like this.

613:613

928:2x 2x 2x 2x 2x 29

507:3x 13x 13

208:2x 2x 2x 2x 13

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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 59990121984/(1x208)

LCM = 59990121984/208

LCM = 288414048

Thus, we can understand that the LCM of 613,928,507,208 is 288414048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 928, 507, 208

1. What is the LCM of 613, 928, 507, 208?

Answer: LCM of 613, 928, 507, 208 is 288414048.

2. How to calculate the LCM of 613, 928, 507, 208?

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 613, 928, 507, 208.

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}.