Given numbers are 694,375,458,506

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

The LCM of 694,375,458,506 is 15078104250.

Find LCM of 694,375,458,506 with Prime Factorization

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

2 x 347 x 375 x 229 x 253 = 15078104250

Therefore, the lowest common multiple of 694,375,458,506 is 15078104250.

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.

694 x 375 x 458 x 506 = 60312417000

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.

694 : 1, 2, 347, 694

375 : 1, 3, 5, 15, 25, 75, 125, 375

458 : 1, 2, 229, 458

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,375,458,506, is 1.

Now, the common factors can be found like this.

694:2x 347

375:3x 5x 5x 5

458:2x 229

506:2x 11x 23

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 = 60312417000/(1x4)

LCM = 60312417000/4

LCM = 15078104250

Thus, we can understand that the LCM of 694,375,458,506 is 15078104250.

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

• LCM of 648, 197, 203, 679
• LCM of 239, 906, 568, 290
• LCM of 976, 479, 330, 225
• LCM of 621, 485, 975, 658
• LCM of 459, 917, 177, 748

1. What is the LCM of 694, 375, 458, 506?

Answer: LCM of 694, 375, 458, 506 is 15078104250.

2. How to calculate the LCM of 694, 375, 458, 506?

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 694, 375, 458, 506.

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}.