Given numbers are 360,493,458

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

The LCM of 360,493,458 is 40642920.

Find LCM of 360,493,458 with Prime Factorization

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

2 x 180 x 493 x 229 = 40642920

Therefore, the lowest common multiple of 360,493,458 is 40642920.

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.

360 x 493 x 458 = 81285840

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

493 : 1, 17, 29, 493

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,493,458, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

493:17x 29

458:2x 229

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

2 = 2

Therefore, the value for common factors is 2.

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 = 81285840/(1x2)

LCM = 81285840/2

LCM = 40642920

Thus, we can understand that the LCM of 360,493,458 is 40642920.

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

• LCM of 527, 171, 189
• LCM of 126, 476, 689
• LCM of 887, 826, 784
• LCM of 474, 916, 880
• LCM of 611, 979, 107

1. What is the LCM of 360, 493, 458?

Answer: LCM of 360, 493, 458 is 40642920.

2. How to calculate the LCM of 360, 493, 458?

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 360, 493, 458.

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}.