Given numbers are 392,623,567

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

The LCM of 392,623,567 is 2825928.

Find LCM of 392,623,567 with Prime Factorization

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

7 x 56 x 89 x 81 = 2825928

Therefore, the lowest common multiple of 392,623,567 is 2825928.

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.

392 x 623 x 567 = 138470472

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

623 : 1, 7, 89, 623

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,623,567, is 7.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

623:7x 89

567:3x 3x 3x 3x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 138470472/(7x7)

LCM = 138470472/49

LCM = 2825928

Thus, we can understand that the LCM of 392,623,567 is 2825928.

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

• LCM of 147, 818, 847
• LCM of 148, 631, 560
• LCM of 223, 849, 909
• LCM of 740, 347, 317
• LCM of 215, 522, 776

1. What is the LCM of 392, 623, 567?

Answer: LCM of 392, 623, 567 is 2825928.

2. How to calculate the LCM of 392, 623, 567?

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 392, 623, 567.

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}.