Given numbers are 790,946,765,780,975

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

The LCM of 790,946,765,780,975 is 7432296300.

Find LCM of 790,946,765,780,975 with Prime Factorization

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

2 x 3 x 5 x 13 x 79 x 473 x 51 x 2 x 5 = 7432296300

Therefore, the lowest common multiple of 790,946,765,780,975 is 7432296300.

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.

790 x 946 x 765 x 780 x 975 = 434789333550000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,946,765,780,975, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

946:2x 11x 43

765:3x 3x 5x 17

780:2x 2x 3x 5x 13

975:3x 5x 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 3x 5x 5x 5x 13 = 58500

Therefore, the value for common factors is 58500.

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 = 434789333550000/(1x58500)

LCM = 434789333550000/58500

LCM = 7432296300

Thus, we can understand that the LCM of 790,946,765,780,975 is 7432296300.

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

• LCM of 877, 674, 758, 155, 394
• LCM of 863, 866, 351, 595, 289
• LCM of 881, 361, 848, 491, 810
• LCM of 417, 331, 214, 334, 342
• LCM of 347, 300, 957, 759, 344

1. What is the LCM of 790, 946, 765, 780, 975?

Answer: LCM of 790, 946, 765, 780, 975 is 7432296300.

2. How to calculate the LCM of 790, 946, 765, 780, 975?

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 790, 946, 765, 780, 975.

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}.