Given numbers are 278,990,462,702

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

The LCM of 278,990,462,702 is 37567530.

Find LCM of 278,990,462,702 with Prime Factorization

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

2 x 3 x 3 x 11 x 139 x 5 x 7 x 39 = 37567530

Therefore, the lowest common multiple of 278,990,462,702 is 37567530.

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 990 x 462 x 702 = 89260451280

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,990,462,702, is 2.

Now, the common factors can be found like this.

278:2x 139

990:2x 3x 3x 5x 11

462:2x 3x 7x 11

702:2x 3x 3x 3x 13

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 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 89260451280/(2x1188)

LCM = 89260451280/2376

LCM = 37567530

Thus, we can understand that the LCM of 278,990,462,702 is 37567530.

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

• LCM of 556, 520, 648, 983
• LCM of 964, 159, 235, 306
• LCM of 885, 770, 104, 431
• LCM of 821, 146, 367, 953
• LCM of 869, 569, 143, 825

1. What is the LCM of 278, 990, 462, 702?

Answer: LCM of 278, 990, 462, 702 is 37567530.

2. How to calculate the LCM of 278, 990, 462, 702?

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, 990, 462, 702.

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}.