Given numbers are 968,507,535,119,816

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

The LCM of 968,507,535,119,816 is 62490508080.

Find LCM of 968,507,535,119,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 121 x 169 x 535 x 7 x 2 = 62490508080

Therefore, the lowest common multiple of 968,507,535,119,816 is 62490508080.

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.

968 x 507 x 535 x 119 x 816 = 25496127296640

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

535 : 1, 5, 107, 535

119 : 1, 7, 17, 119

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,507,535,119,816, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

507:3x 13x 13

535:5x 107

119:7x 17

816:2x 2x 2x 2x 3x 17

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 25496127296640/(1x408)

LCM = 25496127296640/408

LCM = 62490508080

Thus, we can understand that the LCM of 968,507,535,119,816 is 62490508080.

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

• LCM of 790, 997, 612, 113, 713
• LCM of 950, 295, 275, 724, 506
• LCM of 472, 458, 883, 256, 400
• LCM of 831, 860, 868, 399, 506
• LCM of 953, 148, 887, 820, 901

1. What is the LCM of 968, 507, 535, 119, 816?

Answer: LCM of 968, 507, 535, 119, 816 is 62490508080.

2. How to calculate the LCM of 968, 507, 535, 119, 816?

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 968, 507, 535, 119, 816.

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}.