Given numbers are 278,802,260,617

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

The LCM of 278,802,260,617 is 8941650380.

Find LCM of 278,802,260,617 with Prime Factorization

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

2 x 139 x 401 x 130 x 617 = 8941650380

Therefore, the lowest common multiple of 278,802,260,617 is 8941650380.

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.

278 x 802 x 260 x 617 = 35766601520

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.

278 : 1, 2, 139, 278

802 : 1, 2, 401, 802

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

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,802,260,617, is 1.

Now, the common factors can be found like this.

278:2x 139

802:2x 401

260:2x 2x 5x 13

617:617

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35766601520/(1x4)

LCM = 35766601520/4

LCM = 8941650380

Thus, we can understand that the LCM of 278,802,260,617 is 8941650380.

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

• LCM of 952, 497, 570, 907
• LCM of 309, 312, 509, 795
• LCM of 509, 792, 657, 634
• LCM of 920, 228, 711, 901
• LCM of 120, 166, 805, 671

1. What is the LCM of 278, 802, 260, 617?

Answer: LCM of 278, 802, 260, 617 is 8941650380.

2. How to calculate the LCM of 278, 802, 260, 617?

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 278, 802, 260, 617.

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}.