Given numbers are 517,764,742,14

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

The LCM of 517,764,742,14 is 146540548.

Find LCM of 517,764,742,14 with Prime Factorization

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

2 x 7 x 517 x 382 x 53 x 1 = 146540548

Therefore, the lowest common multiple of 517,764,742,14 is 146540548.

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.

517 x 764 x 742 x 14 = 4103135344

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.

517 : 1, 11, 47, 517

764 : 1, 2, 4, 191, 382, 764

742 : 1, 2, 7, 14, 53, 106, 371, 742

14 : 1, 2, 7, 14

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,764,742,14, is 1.

Now, the common factors can be found like this.

517:11x 47

764:2x 2x 191

742:2x 7x 53

14:2x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 4103135344/(1x28)

LCM = 4103135344/28

LCM = 146540548

Thus, we can understand that the LCM of 517,764,742,14 is 146540548.

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

• LCM of 991, 810, 452, 31
• LCM of 560, 943, 232, 30
• LCM of 770, 552, 996, 39
• LCM of 283, 643, 160, 40
• LCM of 549, 176, 553, 62

1. What is the LCM of 517, 764, 742, 14?

Answer: LCM of 517, 764, 742, 14 is 146540548.

2. How to calculate the LCM of 517, 764, 742, 14?

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 517, 764, 742, 14.

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}.