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LCM of 289, 386, 732, 737, 507

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


Find the LCM of 289, 386, 732, 737, 507 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 289, 386, 732, 737, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,386,732,737,507

Given numbers are 289,386,732,737,507

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

The LCM of 289,386,732,737,507 is 5085345042492.

Find LCM of 289,386,732,737,507 with Prime Factorization


2 289, 386, 732, 737, 507
3 289, 193, 366, 737, 507
289, 193, 122, 737, 169

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

2 x 3 x 289 x 193 x 122 x 737 x 169 = 5085345042492

Therefore, the lowest common multiple of 289,386,732,737,507 is 5085345042492.

LCM Formula to Find Lowest Common Multiple of 289,386,732,737,507

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.

289 x 386 x 732 x 737 x 507 = 30512070254952

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.

289 : 1, 17, 289

386 : 1, 2, 193, 386

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

737 : 1, 11, 67, 737

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,386,732,737,507, is 1.

Now, the common factors can be found like this.

289:17x 17

386:2x 193

732:2x 2x 3x 61

737:11x 67

507:3x 13x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 30512070254952/(1x6)

LCM = 30512070254952/6

LCM = 5085345042492

Thus, we can understand that the LCM of 289,386,732,737,507 is 5085345042492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 386, 732, 737, 507

1. What is the LCM of 289, 386, 732, 737, 507?

Answer: LCM of 289, 386, 732, 737, 507 is 5085345042492.

2. How to calculate the LCM of 289, 386, 732, 737, 507?

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 289, 386, 732, 737, 507.

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}.