Given numbers are 988,528,567,406

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

The LCM of 988,528,567,406 is 714810096.

Find LCM of 988,528,567,406 with Prime Factorization

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

2 x 2 x 3 x 7 x 247 x 44 x 27 x 29 = 714810096

Therefore, the lowest common multiple of 988,528,567,406 is 714810096.

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.

988 x 528 x 567 x 406 = 120088096128

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,528,567,406, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

528:2x 2x 2x 2x 3x 11

567:3x 3x 3x 3x 7

406:2x 7x 29

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 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 120088096128/(1x168)

LCM = 120088096128/168

LCM = 714810096

Thus, we can understand that the LCM of 988,528,567,406 is 714810096.

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

• LCM of 745, 726, 488, 260
• LCM of 756, 612, 146, 426
• LCM of 197, 847, 468, 668
• LCM of 483, 795, 223, 374
• LCM of 157, 864, 129, 577

1. What is the LCM of 988, 528, 567, 406?

Answer: LCM of 988, 528, 567, 406 is 714810096.

2. How to calculate the LCM of 988, 528, 567, 406?

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 988, 528, 567, 406.

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}.