Given numbers are 724,372,252,437,890

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

The LCM of 724,372,252,437,890 is 274968064980.

Find LCM of 724,372,252,437,890 with Prime Factorization

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

2 x 2 x 3 x 181 x 31 x 21 x 437 x 445 = 274968064980

Therefore, the lowest common multiple of 724,372,252,437,890 is 274968064980.

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 372 x 252 x 437 x 890 = 26396934238080

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

437 : 1, 19, 23, 437

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,372,252,437,890, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

372:2x 2x 3x 31

252:2x 2x 3x 3x 7

437:19x 23

890:2x 5x 89

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 26396934238080/(1x96)

LCM = 26396934238080/96

LCM = 274968064980

Thus, we can understand that the LCM of 724,372,252,437,890 is 274968064980.

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

• LCM of 294, 689, 648, 415, 360
• LCM of 503, 668, 638, 479, 126
• LCM of 448, 378, 458, 767, 613
• LCM of 571, 233, 651, 568, 741
• LCM of 796, 986, 307, 922, 696

1. What is the LCM of 724, 372, 252, 437, 890?

Answer: LCM of 724, 372, 252, 437, 890 is 274968064980.

2. How to calculate the LCM of 724, 372, 252, 437, 890?

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, 372, 252, 437, 890.

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}.