Given numbers are 3464,7564

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

The LCM of 3464,7564 is 6550424.

Find LCM of 3464,7564 with Prime Factorization

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

2 x 2 x 866 x 1891 = 6550424

Therefore, the lowest common multiple of 3464,7564 is 6550424.

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.

3464 x 7564 = 26201696

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.

3464 : 1, 2, 4, 8, 433, 866, 1732, 3464

7564 : 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3464,7564, is 4.

Now, the common factors can be found like this.

3464:2x 2x 2x 433

7564:2x 2x 31x 61

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

= 1

Therefore, the value for common factors is 1.

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 = 26201696/(4x1)

LCM = 26201696/4

LCM = 6550424

Thus, we can understand that the LCM of 3464,7564 is 6550424.

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

• LCM of 4904, 4638
• LCM of 8306, 2242
• LCM of 1350, 6829
• LCM of 6983, 9649
• LCM of 2022, 2928

1. What is the LCM of 3464, 7564?

Answer: LCM of 3464, 7564 is 6550424.

2. How to calculate the LCM of 3464, 7564?

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 3464, 7564.

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}.