Given numbers are 321,537,749,506

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

The LCM of 321,537,749,506 is 203519778.

Find LCM of 321,537,749,506 with Prime Factorization

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

3 x 107 x 1 x 179 x 7 x 506 = 203519778

Therefore, the lowest common multiple of 321,537,749,506 is 203519778.

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.

321 x 537 x 749 x 506 = 65329848738

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.

321 : 1, 3, 107, 321

537 : 1, 3, 179, 537

749 : 1, 7, 107, 749

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,537,749,506, is 1.

Now, the common factors can be found like this.

321:3x 107

537:3x 179

749:7x 107

506:2x 11x 23

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 65329848738/(1x321)

LCM = 65329848738/321

LCM = 203519778

Thus, we can understand that the LCM of 321,537,749,506 is 203519778.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 400, 702, 404, 111
• LCM of 559, 485, 771, 284
• LCM of 662, 865, 991, 111
• LCM of 897, 635, 255, 840
• LCM of 575, 441, 793, 888

1. What is the LCM of 321, 537, 749, 506?

Answer: LCM of 321, 537, 749, 506 is 203519778.

2. How to calculate the LCM of 321, 537, 749, 506?

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 321, 537, 749, 506.

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}.