Given numbers are 749,814,354,355

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

The LCM of 749,814,354,355 is 38309619810.

Find LCM of 749,814,354,355 with Prime Factorization

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

2 x 749 x 407 x 177 x 355 = 38309619810

Therefore, the lowest common multiple of 749,814,354,355 is 38309619810.

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.

749 x 814 x 354 x 355 = 76619239620

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.

749 : 1, 7, 107, 749

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,814,354,355, is 1.

Now, the common factors can be found like this.

749:7x 107

814:2x 11x 37

354:2x 3x 59

355:5x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 76619239620/(1x2)

LCM = 76619239620/2

LCM = 38309619810

Thus, we can understand that the LCM of 749,814,354,355 is 38309619810.

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

• LCM of 700, 734, 984, 362
• LCM of 116, 593, 283, 688
• LCM of 876, 166, 980, 741
• LCM of 639, 895, 724, 234
• LCM of 702, 763, 191, 133

1. What is the LCM of 749, 814, 354, 355?

Answer: LCM of 749, 814, 354, 355 is 38309619810.

2. How to calculate the LCM of 749, 814, 354, 355?

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 749, 814, 354, 355.

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}.