Given numbers are 738,507,787,461,335

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

The LCM of 738,507,787,461,335 is 15158754909090.

Find LCM of 738,507,787,461,335 with Prime Factorization

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

3 x 246 x 169 x 787 x 461 x 335 = 15158754909090

Therefore, the lowest common multiple of 738,507,787,461,335 is 15158754909090.

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.

738 x 507 x 787 x 461 x 335 = 45476264727270

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

507 : 1, 3, 13, 39, 169, 507

787 : 1, 787

461 : 1, 461

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,507,787,461,335, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

507:3x 13x 13

787:787

461:461

335:5x 67

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

3 = 3

Therefore, the value for common factors is 3.

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 = 45476264727270/(1x3)

LCM = 45476264727270/3

LCM = 15158754909090

Thus, we can understand that the LCM of 738,507,787,461,335 is 15158754909090.

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

• LCM of 510, 903, 887, 134, 102
• LCM of 729, 262, 822, 215, 864
• LCM of 156, 420, 503, 393, 884
• LCM of 377, 940, 384, 373, 782
• LCM of 856, 614, 902, 872, 530

1. What is the LCM of 738, 507, 787, 461, 335?

Answer: LCM of 738, 507, 787, 461, 335 is 15158754909090.

2. How to calculate the LCM of 738, 507, 787, 461, 335?

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 738, 507, 787, 461, 335.

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}.