Given numbers are 458,282,316,745

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

The LCM of 458,282,316,745 is 7601476380.

Find LCM of 458,282,316,745 with Prime Factorization

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

2 x 229 x 141 x 158 x 745 = 7601476380

Therefore, the lowest common multiple of 458,282,316,745 is 7601476380.

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.

458 x 282 x 316 x 745 = 30405905520

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.

458 : 1, 2, 229, 458

282 : 1, 2, 3, 6, 47, 94, 141, 282

316 : 1, 2, 4, 79, 158, 316

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,282,316,745, is 1.

Now, the common factors can be found like this.

458:2x 229

282:2x 3x 47

316:2x 2x 79

745:5x 149

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 = 30405905520/(1x4)

LCM = 30405905520/4

LCM = 7601476380

Thus, we can understand that the LCM of 458,282,316,745 is 7601476380.

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

• LCM of 647, 616, 884, 893
• LCM of 187, 658, 715, 680
• LCM of 169, 444, 384, 837
• LCM of 879, 839, 905, 762
• LCM of 538, 880, 651, 915

1. What is the LCM of 458, 282, 316, 745?

Answer: LCM of 458, 282, 316, 745 is 7601476380.

2. How to calculate the LCM of 458, 282, 316, 745?

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 458, 282, 316, 745.

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}.