Given numbers are 748,466,652

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

The LCM of 748,466,652 is 28408292.

Find LCM of 748,466,652 with Prime Factorization

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

2 x 2 x 187 x 233 x 163 = 28408292

Therefore, the lowest common multiple of 748,466,652 is 28408292.

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.

748 x 466 x 652 = 227266336

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

466 : 1, 2, 233, 466

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,466,652, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

466:2x 233

652:2x 2x 163

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 = 227266336/(2x4)

LCM = 227266336/8

LCM = 28408292

Thus, we can understand that the LCM of 748,466,652 is 28408292.

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

• LCM of 468, 795, 703
• LCM of 822, 753, 436
• LCM of 890, 219, 766
• LCM of 981, 740, 329
• LCM of 313, 518, 571

1. What is the LCM of 748, 466, 652?

Answer: LCM of 748, 466, 652 is 28408292.

2. How to calculate the LCM of 748, 466, 652?

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 748, 466, 652.

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}.