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LCM of 507, 221, 139, 332

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


Find the LCM of 507, 221, 139, 332 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 507, 221, 139, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,221,139,332

Given numbers are 507,221,139,332

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

The LCM of 507,221,139,332 is 397749612.

Find LCM of 507,221,139,332 with Prime Factorization


13 507, 221, 139, 332
39, 17, 139, 332

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

13 x 39 x 17 x 139 x 332 = 397749612

Therefore, the lowest common multiple of 507,221,139,332 is 397749612.

LCM Formula to Find Lowest Common Multiple of 507,221,139,332

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.

507 x 221 x 139 x 332 = 5170744956

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.

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

221 : 1, 13, 17, 221

139 : 1, 139

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,221,139,332, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

221:13x 17

139:139

332:2x 2x 83

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

13 = 13

Therefore, the value for common factors is 13.

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 = 5170744956/(1x13)

LCM = 5170744956/13

LCM = 397749612

Thus, we can understand that the LCM of 507,221,139,332 is 397749612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 221, 139, 332

1. What is the LCM of 507, 221, 139, 332?

Answer: LCM of 507, 221, 139, 332 is 397749612.

2. How to calculate the LCM of 507, 221, 139, 332?

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 507, 221, 139, 332.

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}.