Given numbers are 135,624,770,682,510

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

The LCM of 135,624,770,682,510 is 1139458320.

Find LCM of 135,624,770,682,510 with Prime Factorization

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

2 x 3 x 5 x 11 x 9 x 104 x 7 x 31 x 17 = 1139458320

Therefore, the lowest common multiple of 135,624,770,682,510 is 1139458320.

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.

135 x 624 x 770 x 682 x 510 = 22561274736000

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.

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

682 : 1, 2, 11, 22, 31, 62, 341, 682

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,624,770,682,510, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

624:2x 2x 2x 2x 3x 13

770:2x 5x 7x 11

682:2x 11x 31

510:2x 3x 5x 17

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 2x 3x 3x 5x 5x 11 = 19800

Therefore, the value for common factors is 19800.

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 = 22561274736000/(1x19800)

LCM = 22561274736000/19800

LCM = 1139458320

Thus, we can understand that the LCM of 135,624,770,682,510 is 1139458320.

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

• LCM of 510, 556, 378, 753, 899
• LCM of 207, 818, 829, 296, 818
• LCM of 188, 925, 218, 260, 187
• LCM of 594, 607, 504, 431, 738
• LCM of 710, 490, 673, 118, 592

1. What is the LCM of 135, 624, 770, 682, 510?

Answer: LCM of 135, 624, 770, 682, 510 is 1139458320.

2. How to calculate the LCM of 135, 624, 770, 682, 510?

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 135, 624, 770, 682, 510.

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}.