Given numbers are 678,299,553,874,960

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

The LCM of 678,299,553,874,960 is 340800008640.

Find LCM of 678,299,553,874,960 with Prime Factorization

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

2 x 3 x 23 x 113 x 13 x 553 x 19 x 160 = 340800008640

Therefore, the lowest common multiple of 678,299,553,874,960 is 340800008640.

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.

678 x 299 x 553 x 874 x 960 = 94060802384640

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

299 : 1, 13, 23, 299

553 : 1, 7, 79, 553

874 : 1, 2, 19, 23, 38, 46, 437, 874

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,299,553,874,960, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

299:13x 23

553:7x 79

874:2x 19x 23

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 94060802384640/(1x276)

LCM = 94060802384640/276

LCM = 340800008640

Thus, we can understand that the LCM of 678,299,553,874,960 is 340800008640.

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

• LCM of 276, 714, 949, 168, 264
• LCM of 841, 156, 931, 526, 460
• LCM of 260, 145, 917, 830, 870
• LCM of 818, 199, 850, 964, 513
• LCM of 322, 890, 691, 208, 156

1. What is the LCM of 678, 299, 553, 874, 960?

Answer: LCM of 678, 299, 553, 874, 960 is 340800008640.

2. How to calculate the LCM of 678, 299, 553, 874, 960?

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 678, 299, 553, 874, 960.

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}.