Given numbers are 328,749,767,642

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

The LCM of 328,749,767,642 is 565291272.

Find LCM of 328,749,767,642 with Prime Factorization

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

2 x 107 x 164 x 7 x 767 x 3 = 565291272

Therefore, the lowest common multiple of 328,749,767,642 is 565291272.

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.

328 x 749 x 767 x 642 = 120972332208

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

749 : 1, 7, 107, 749

767 : 1, 13, 59, 767

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,749,767,642, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

749:7x 107

767:13x 59

642:2x 3x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 120972332208/(1x214)

LCM = 120972332208/214

LCM = 565291272

Thus, we can understand that the LCM of 328,749,767,642 is 565291272.

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

• LCM of 947, 237, 790, 257
• LCM of 453, 881, 777, 248
• LCM of 542, 388, 819, 787
• LCM of 621, 598, 680, 571
• LCM of 101, 121, 912, 341

1. What is the LCM of 328, 749, 767, 642?

Answer: LCM of 328, 749, 767, 642 is 565291272.

2. How to calculate the LCM of 328, 749, 767, 642?

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 328, 749, 767, 642.

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}.