Given numbers are 678,260,791

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

The LCM of 678,260,791 is 616980.

Find LCM of 678,260,791 with Prime Factorization

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

2 x 113 x 3 x 130 x 7 = 616980

Therefore, the lowest common multiple of 678,260,791 is 616980.

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 260 x 791 = 139437480

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,260,791, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

260:2x 2x 5x 13

791:7x 113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 139437480/(1x226)

LCM = 139437480/226

LCM = 616980

Thus, we can understand that the LCM of 678,260,791 is 616980.

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

• LCM of 436, 630, 727
• LCM of 267, 376, 771
• LCM of 381, 423, 509
• LCM of 347, 122, 739
• LCM of 414, 877, 684

1. What is the LCM of 678, 260, 791?

Answer: LCM of 678, 260, 791 is 616980.

2. How to calculate the LCM of 678, 260, 791?

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, 260, 791.

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}.