Given numbers are 432,438,986,714

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

The LCM of 432,438,986,714 is 108830736.

Find LCM of 432,438,986,714 with Prime Factorization

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

2 x 3 x 17 x 72 x 73 x 29 x 7 = 108830736

Therefore, the lowest common multiple of 432,438,986,714 is 108830736.

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.

432 x 438 x 986 x 714 = 133208820864

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.

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

986 : 1, 2, 17, 29, 34, 58, 493, 986

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,438,986,714, is 2.

Now, the common factors can be found like this.

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

438:2x 3x 73

986:2x 17x 29

714:2x 3x 7x 17

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 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 133208820864/(2x612)

LCM = 133208820864/1224

LCM = 108830736

Thus, we can understand that the LCM of 432,438,986,714 is 108830736.

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

• LCM of 199, 102, 258, 318
• LCM of 814, 410, 618, 205
• LCM of 988, 503, 538, 518
• LCM of 975, 554, 594, 885
• LCM of 329, 108, 324, 646

1. What is the LCM of 432, 438, 986, 714?

Answer: LCM of 432, 438, 986, 714 is 108830736.

2. How to calculate the LCM of 432, 438, 986, 714?

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 432, 438, 986, 714.

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}.