Given numbers are 468,472,626,552,763

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

The LCM of 468,472,626,552,763 is 303336430488.

Find LCM of 468,472,626,552,763 with Prime Factorization

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

2 x 2 x 2 x 3 x 39 x 59 x 313 x 23 x 763 = 303336430488

Therefore, the lowest common multiple of 468,472,626,552,763 is 303336430488.

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.

468 x 472 x 626 x 552 x 763 = 58240594653696

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

472 : 1, 2, 4, 8, 59, 118, 236, 472

626 : 1, 2, 313, 626

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

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,472,626,552,763, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

472:2x 2x 2x 59

626:2x 313

552:2x 2x 2x 3x 23

763:7x 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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 58240594653696/(1x192)

LCM = 58240594653696/192

LCM = 303336430488

Thus, we can understand that the LCM of 468,472,626,552,763 is 303336430488.

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

• LCM of 694, 148, 223, 632, 792
• LCM of 683, 331, 617, 969, 123
• LCM of 866, 432, 282, 475, 551
• LCM of 105, 549, 814, 777, 849
• LCM of 131, 191, 279, 471, 665

1. What is the LCM of 468, 472, 626, 552, 763?

Answer: LCM of 468, 472, 626, 552, 763 is 303336430488.

2. How to calculate the LCM of 468, 472, 626, 552, 763?

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 468, 472, 626, 552, 763.

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}.