Given numbers are 814,326,406,552,969

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

The LCM of 814,326,406,552,969 is 2401151992008.

Find LCM of 814,326,406,552,969 with Prime Factorization

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

2 x 3 x 407 x 163 x 203 x 92 x 323 = 2401151992008

Therefore, the lowest common multiple of 814,326,406,552,969 is 2401151992008.

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.

814 x 326 x 406 x 552 x 969 = 57627647808192

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

326 : 1, 2, 163, 326

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,326,406,552,969, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

326:2x 163

406:2x 7x 29

552:2x 2x 2x 3x 23

969:3x 17x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 57627647808192/(1x24)

LCM = 57627647808192/24

LCM = 2401151992008

Thus, we can understand that the LCM of 814,326,406,552,969 is 2401151992008.

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

• LCM of 330, 282, 550, 647, 928
• LCM of 170, 332, 788, 486, 134
• LCM of 101, 780, 859, 840, 727
• LCM of 604, 846, 929, 139, 541
• LCM of 148, 446, 284, 504, 119

1. What is the LCM of 814, 326, 406, 552, 969?

Answer: LCM of 814, 326, 406, 552, 969 is 2401151992008.

2. How to calculate the LCM of 814, 326, 406, 552, 969?

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 814, 326, 406, 552, 969.

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}.