Given numbers are 830,135,780,509,600

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

The LCM of 830,135,780,509,600 is 2965739400.

Find LCM of 830,135,780,509,600 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 9 x 13 x 509 x 10 = 2965739400

Therefore, the lowest common multiple of 830,135,780,509,600 is 2965739400.

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.

830 x 135 x 780 x 509 x 600 = 26691654600000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

509 : 1, 509

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,135,780,509,600, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

135:3x 3x 3x 5

780:2x 2x 3x 5x 13

509:509

600:2x 2x 2x 3x 5x 5

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 5 = 9000

Therefore, the value for common factors is 9000.

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 = 26691654600000/(1x9000)

LCM = 26691654600000/9000

LCM = 2965739400

Thus, we can understand that the LCM of 830,135,780,509,600 is 2965739400.

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

• LCM of 681, 374, 856, 912, 347
• LCM of 781, 533, 164, 217, 280
• LCM of 764, 127, 337, 801, 171
• LCM of 383, 167, 354, 518, 896
• LCM of 563, 797, 491, 536, 120

1. What is the LCM of 830, 135, 780, 509, 600?

Answer: LCM of 830, 135, 780, 509, 600 is 2965739400.

2. How to calculate the LCM of 830, 135, 780, 509, 600?

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 830, 135, 780, 509, 600.

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}.