Given numbers are 930,782,157,132,317

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

The LCM of 930,782,157,132,317 is 398145032340.

Find LCM of 930,782,157,132,317 with Prime Factorization

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

2 x 3 x 155 x 391 x 157 x 22 x 317 = 398145032340

Therefore, the lowest common multiple of 930,782,157,132,317 is 398145032340.

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.

930 x 782 x 157 x 132 x 317 = 4777740388080

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

782 : 1, 2, 17, 23, 34, 46, 391, 782

157 : 1, 157

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,782,157,132,317, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

782:2x 17x 23

157:157

132:2x 2x 3x 11

317:317

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4777740388080/(1x12)

LCM = 4777740388080/12

LCM = 398145032340

Thus, we can understand that the LCM of 930,782,157,132,317 is 398145032340.

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

• LCM of 126, 744, 717, 946, 504
• LCM of 889, 878, 683, 929, 534
• LCM of 419, 681, 580, 342, 580
• LCM of 769, 140, 902, 932, 672
• LCM of 729, 995, 659, 587, 847

1. What is the LCM of 930, 782, 157, 132, 317?

Answer: LCM of 930, 782, 157, 132, 317 is 398145032340.

2. How to calculate the LCM of 930, 782, 157, 132, 317?

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 930, 782, 157, 132, 317.

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}.