Given numbers are 305,672,508

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

The LCM of 305,672,508 is 26029920.

Find LCM of 305,672,508 with Prime Factorization

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

2 x 2 x 305 x 168 x 127 = 26029920

Therefore, the lowest common multiple of 305,672,508 is 26029920.

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.

305 x 672 x 508 = 104119680

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.

305 : 1, 5, 61, 305

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,672,508, is 1.

Now, the common factors can be found like this.

305:5x 61

672:2x 2x 2x 2x 2x 3x 7

508:2x 2x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 104119680/(1x4)

LCM = 104119680/4

LCM = 26029920

Thus, we can understand that the LCM of 305,672,508 is 26029920.

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

• LCM of 854, 370, 461
• LCM of 481, 742, 650
• LCM of 113, 159, 221
• LCM of 582, 712, 446
• LCM of 252, 851, 507

1. What is the LCM of 305, 672, 508?

Answer: LCM of 305, 672, 508 is 26029920.

2. How to calculate the LCM of 305, 672, 508?

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 305, 672, 508.

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}.