Given numbers are 345,660,570,673,930

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

The LCM of 345,660,570,673,930 is 6017306460.

Find LCM of 345,660,570,673,930 with Prime Factorization

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

2 x 3 x 5 x 23 x 22 x 19 x 673 x 31 = 6017306460

Therefore, the lowest common multiple of 345,660,570,673,930 is 6017306460.

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.

345 x 660 x 570 x 673 x 930 = 81233637210000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

673 : 1, 673

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,660,570,673,930, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

660:2x 2x 3x 5x 11

570:2x 3x 5x 19

673:673

930:2x 3x 5x 31

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 3x 5x 5x 5 = 13500

Therefore, the value for common factors is 13500.

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 = 81233637210000/(1x13500)

LCM = 81233637210000/13500

LCM = 6017306460

Thus, we can understand that the LCM of 345,660,570,673,930 is 6017306460.

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

• LCM of 154, 565, 902, 247, 945
• LCM of 767, 183, 572, 436, 773
• LCM of 787, 620, 874, 197, 140
• LCM of 565, 822, 395, 646, 290
• LCM of 567, 723, 136, 383, 991

1. What is the LCM of 345, 660, 570, 673, 930?

Answer: LCM of 345, 660, 570, 673, 930 is 6017306460.

2. How to calculate the LCM of 345, 660, 570, 673, 930?

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 345, 660, 570, 673, 930.

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}.