Given numbers are 3507,7364

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

The LCM of 3507,7364 is 3689364.

Find LCM of 3507,7364 with Prime Factorization

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

7 x 501 x 1052 = 3689364

Therefore, the lowest common multiple of 3507,7364 is 3689364.

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.

3507 x 7364 = 25825548

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.

3507 : 1, 3, 7, 21, 167, 501, 1169, 3507

7364 : 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3507,7364, is 7.

Now, the common factors can be found like this.

3507:3x 7x 167

7364:2x 2x 7x 263

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 = 25825548/(7x1)

LCM = 25825548/7

LCM = 3689364

Thus, we can understand that the LCM of 3507,7364 is 3689364.

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

• LCM of 1473, 1496
• LCM of 8616, 6198
• LCM of 8848, 3469
• LCM of 5145, 8398
• LCM of 8770, 1913

1. What is the LCM of 3507, 7364?

Answer: LCM of 3507, 7364 is 3689364.

2. How to calculate the LCM of 3507, 7364?

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 3507, 7364.

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}.