Given numbers are 574,638,762,769

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

The LCM of 574,638,762,769 is 53648043834.

Find LCM of 574,638,762,769 with Prime Factorization

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

2 x 287 x 319 x 381 x 769 = 53648043834

Therefore, the lowest common multiple of 574,638,762,769 is 53648043834.

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.

574 x 638 x 762 x 769 = 214592175336

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

638 : 1, 2, 11, 22, 29, 58, 319, 638

762 : 1, 2, 3, 6, 127, 254, 381, 762

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,638,762,769, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

638:2x 11x 29

762:2x 3x 127

769:769

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 214592175336/(1x4)

LCM = 214592175336/4

LCM = 53648043834

Thus, we can understand that the LCM of 574,638,762,769 is 53648043834.

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

• LCM of 432, 216, 584, 636
• LCM of 663, 653, 557, 528
• LCM of 660, 114, 824, 104
• LCM of 580, 417, 802, 473
• LCM of 430, 777, 694, 626

1. What is the LCM of 574, 638, 762, 769?

Answer: LCM of 574, 638, 762, 769 is 53648043834.

2. How to calculate the LCM of 574, 638, 762, 769?

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 574, 638, 762, 769.

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}.