Given numbers are 724,308,421,345,872

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

The LCM of 724,308,421,345,872 is 1765171780680.

Find LCM of 724,308,421,345,872 with Prime Factorization

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

2 x 2 x 181 x 77 x 421 x 345 x 218 = 1765171780680

Therefore, the lowest common multiple of 724,308,421,345,872 is 1765171780680.

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.

724 x 308 x 421 x 345 x 872 = 28242748490880

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.

724 : 1, 2, 4, 181, 362, 724

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

421 : 1, 421

345 : 1, 3, 5, 15, 23, 69, 115, 345

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,308,421,345,872, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

308:2x 2x 7x 11

421:421

345:3x 5x 23

872:2x 2x 2x 109

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 2 = 16

Therefore, the value for common factors is 16.

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 = 28242748490880/(1x16)

LCM = 28242748490880/16

LCM = 1765171780680

Thus, we can understand that the LCM of 724,308,421,345,872 is 1765171780680.

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

• LCM of 292, 540, 902, 966, 384
• LCM of 380, 978, 933, 580, 182
• LCM of 284, 890, 947, 420, 607
• LCM of 353, 363, 935, 328, 402
• LCM of 111, 446, 372, 881, 958

1. What is the LCM of 724, 308, 421, 345, 872?

Answer: LCM of 724, 308, 421, 345, 872 is 1765171780680.

2. How to calculate the LCM of 724, 308, 421, 345, 872?

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 724, 308, 421, 345, 872.

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}.