Given numbers are 458,722,319,687

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

The LCM of 458,722,319,687 is 158228466.

Find LCM of 458,722,319,687 with Prime Factorization

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

2 x 229 x 1 x 361 x 319 x 3 = 158228466

Therefore, the lowest common multiple of 458,722,319,687 is 158228466.

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 722 x 319 x 687 = 72468637428

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

722 : 1, 2, 19, 38, 361, 722

319 : 1, 11, 29, 319

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,722,319,687, is 1.

Now, the common factors can be found like this.

458:2x 229

722:2x 19x 19

319:11x 29

687:3x 229

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 72468637428/(1x458)

LCM = 72468637428/458

LCM = 158228466

Thus, we can understand that the LCM of 458,722,319,687 is 158228466.

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

• LCM of 892, 942, 665, 507
• LCM of 394, 969, 176, 869
• LCM of 159, 847, 941, 561
• LCM of 997, 785, 826, 730
• LCM of 534, 117, 338, 602

1. What is the LCM of 458, 722, 319, 687?

Answer: LCM of 458, 722, 319, 687 is 158228466.

2. How to calculate the LCM of 458, 722, 319, 687?

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, 722, 319, 687.

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}.