Given numbers are 824,782,544,968

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

The LCM of 824,782,544,968 is 155937056.

Find LCM of 824,782,544,968 with Prime Factorization

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

2 x 2 x 2 x 17 x 103 x 23 x 4 x 121 = 155937056

Therefore, the lowest common multiple of 824,782,544,968 is 155937056.

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.

824 x 782 x 544 x 968 = 339319033856

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

782 : 1, 2, 17, 23, 34, 46, 391, 782

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,782,544,968, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

782:2x 17x 23

544:2x 2x 2x 2x 2x 17

968:2x 2x 2x 11x 11

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 2x 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 339319033856/(2x1088)

LCM = 339319033856/2176

LCM = 155937056

Thus, we can understand that the LCM of 824,782,544,968 is 155937056.

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

• LCM of 205, 878, 946, 790
• LCM of 730, 807, 643, 357
• LCM of 461, 760, 101, 620
• LCM of 729, 463, 264, 819
• LCM of 341, 638, 479, 619

1. What is the LCM of 824, 782, 544, 968?

Answer: LCM of 824, 782, 544, 968 is 155937056.

2. How to calculate the LCM of 824, 782, 544, 968?

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 824, 782, 544, 968.

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}.