Given numbers are 239,301,946,750,780

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

The LCM of 239,301,946,750,780 is 15430915500.

Find LCM of 239,301,946,750,780 with Prime Factorization

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

2 x 3 x 5 x 43 x 239 x 7 x 11 x 25 x 26 = 15430915500

Therefore, the lowest common multiple of 239,301,946,750,780 is 15430915500.

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.

239 x 301 x 946 x 750 x 780 = 39811761990000

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.

239 : 1, 239

301 : 1, 7, 43, 301

946 : 1, 2, 11, 22, 43, 86, 473, 946

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,301,946,750,780, is 1.

Now, the common factors can be found like this.

239:239

301:7x 43

946:2x 11x 43

750:2x 3x 5x 5x 5

780:2x 2x 3x 5x 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 5x 43 = 2580

Therefore, the value for common factors is 2580.

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 = 39811761990000/(1x2580)

LCM = 39811761990000/2580

LCM = 15430915500

Thus, we can understand that the LCM of 239,301,946,750,780 is 15430915500.

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

• LCM of 925, 947, 718, 630, 215
• LCM of 256, 715, 434, 805, 813
• LCM of 634, 955, 508, 810, 576
• LCM of 593, 141, 578, 177, 464
• LCM of 357, 210, 991, 775, 695

1. What is the LCM of 239, 301, 946, 750, 780?

Answer: LCM of 239, 301, 946, 750, 780 is 15430915500.

2. How to calculate the LCM of 239, 301, 946, 750, 780?

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 239, 301, 946, 750, 780.

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}.