Given numbers are 458,782,142,708

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

The LCM of 458,782,142,708 is 4500946452.

Find LCM of 458,782,142,708 with Prime Factorization

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

2 x 229 x 391 x 71 x 354 = 4500946452

Therefore, the lowest common multiple of 458,782,142,708 is 4500946452.

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 782 x 142 x 708 = 36007571616

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

142 : 1, 2, 71, 142

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,782,142,708, is 2.

Now, the common factors can be found like this.

458:2x 229

782:2x 17x 23

142:2x 71

708:2x 2x 3x 59

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 = 36007571616/(2x4)

LCM = 36007571616/8

LCM = 4500946452

Thus, we can understand that the LCM of 458,782,142,708 is 4500946452.

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

• LCM of 638, 695, 291, 143
• LCM of 231, 855, 120, 575
• LCM of 694, 151, 477, 987
• LCM of 675, 283, 303, 218
• LCM of 497, 336, 755, 134

1. What is the LCM of 458, 782, 142, 708?

Answer: LCM of 458, 782, 142, 708 is 4500946452.

2. How to calculate the LCM of 458, 782, 142, 708?

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, 782, 142, 708.

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}.