Given numbers are 468,742,991

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

The LCM of 468,742,991 is 172065348.

Find LCM of 468,742,991 with Prime Factorization

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

2 x 234 x 371 x 991 = 172065348

Therefore, the lowest common multiple of 468,742,991 is 172065348.

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.

468 x 742 x 991 = 344130696

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

742 : 1, 2, 7, 14, 53, 106, 371, 742

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,742,991, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

742:2x 7x 53

991:991

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 = 344130696/(1x2)

LCM = 344130696/2

LCM = 172065348

Thus, we can understand that the LCM of 468,742,991 is 172065348.

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

• LCM of 107, 176, 492
• LCM of 387, 308, 431
• LCM of 387, 703, 158
• LCM of 678, 910, 123
• LCM of 228, 104, 826

1. What is the LCM of 468, 742, 991?

Answer: LCM of 468, 742, 991 is 172065348.

2. How to calculate the LCM of 468, 742, 991?

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 468, 742, 991.

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}.