Given numbers are 930,306,420,573,598

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

The LCM of 930,306,420,573,598 is 37921518180.

Find LCM of 930,306,420,573,598 with Prime Factorization

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

2 x 3 x 5 x 31 x 51 x 14 x 191 x 299 = 37921518180

Therefore, the lowest common multiple of 930,306,420,573,598 is 37921518180.

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 306 x 420 x 573 x 598 = 40955239634400

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

573 : 1, 3, 191, 573

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,306,420,573,598, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

306:2x 3x 3x 17

420:2x 2x 3x 5x 7

573:3x 191

598:2x 13x 23

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 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 40955239634400/(1x1080)

LCM = 40955239634400/1080

LCM = 37921518180

Thus, we can understand that the LCM of 930,306,420,573,598 is 37921518180.

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

• LCM of 291, 324, 137, 901, 580
• LCM of 333, 174, 842, 465, 863
• LCM of 718, 672, 736, 339, 237
• LCM of 501, 818, 467, 737, 573
• LCM of 164, 935, 504, 889, 995

1. What is the LCM of 930, 306, 420, 573, 598?

Answer: LCM of 930, 306, 420, 573, 598 is 37921518180.

2. How to calculate the LCM of 930, 306, 420, 573, 598?

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, 306, 420, 573, 598.

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}.