Given numbers are 312,598,777,135,754

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

The LCM of 312,598,777,135,754 is 2425452120.

Find LCM of 312,598,777,135,754 with Prime Factorization

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

2 x 3 x 13 x 4 x 23 x 259 x 45 x 29 = 2425452120

Therefore, the lowest common multiple of 312,598,777,135,754 is 2425452120.

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.

312 x 598 x 777 x 135 x 754 = 14756450698080

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

598 : 1, 2, 13, 23, 26, 46, 299, 598

777 : 1, 3, 7, 21, 37, 111, 259, 777

135 : 1, 3, 5, 9, 15, 27, 45, 135

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,598,777,135,754, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

598:2x 13x 23

777:3x 7x 37

135:3x 3x 3x 5

754:2x 13x 29

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 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 14756450698080/(1x6084)

LCM = 14756450698080/6084

LCM = 2425452120

Thus, we can understand that the LCM of 312,598,777,135,754 is 2425452120.

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

• LCM of 474, 239, 482, 817, 356
• LCM of 964, 731, 913, 883, 259
• LCM of 116, 565, 593, 894, 833
• LCM of 953, 467, 162, 299, 718
• LCM of 855, 587, 834, 382, 729

1. What is the LCM of 312, 598, 777, 135, 754?

Answer: LCM of 312, 598, 777, 135, 754 is 2425452120.

2. How to calculate the LCM of 312, 598, 777, 135, 754?

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 312, 598, 777, 135, 754.

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}.