Given numbers are 390,699,432,278

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

The LCM of 390,699,432,278 is 909426960.

Find LCM of 390,699,432,278 with Prime Factorization

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

2 x 3 x 65 x 233 x 72 x 139 = 909426960

Therefore, the lowest common multiple of 390,699,432,278 is 909426960.

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.

390 x 699 x 432 x 278 = 32739370560

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

699 : 1, 3, 233, 699

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,699,432,278, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

699:3x 233

432:2x 2x 2x 2x 3x 3x 3

278:2x 139

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 32739370560/(1x36)

LCM = 32739370560/36

LCM = 909426960

Thus, we can understand that the LCM of 390,699,432,278 is 909426960.

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

• LCM of 800, 517, 151, 761
• LCM of 384, 920, 657, 764
• LCM of 339, 124, 177, 222
• LCM of 567, 125, 124, 189
• LCM of 930, 617, 181, 456

1. What is the LCM of 390, 699, 432, 278?

Answer: LCM of 390, 699, 432, 278 is 909426960.

2. How to calculate the LCM of 390, 699, 432, 278?

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 390, 699, 432, 278.

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}.