Given numbers are 570,980,752,900,993

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

The LCM of 570,980,752,900,993 is 52140841200.

Find LCM of 570,980,752,900,993 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 49 x 188 x 15 x 331 = 52140841200

Therefore, the lowest common multiple of 570,980,752,900,993 is 52140841200.

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.

570 x 980 x 752 x 900 x 993 = 375414056640000

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.

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,980,752,900,993, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

980:2x 2x 5x 7x 7

752:2x 2x 2x 2x 47

900:2x 2x 3x 3x 5x 5

993:3x 331

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 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 375414056640000/(1x7200)

LCM = 375414056640000/7200

LCM = 52140841200

Thus, we can understand that the LCM of 570,980,752,900,993 is 52140841200.

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

• LCM of 100, 421, 429, 664, 947
• LCM of 552, 865, 285, 176, 976
• LCM of 294, 545, 705, 601, 575
• LCM of 108, 544, 954, 123, 165
• LCM of 678, 647, 837, 208, 616

1. What is the LCM of 570, 980, 752, 900, 993?

Answer: LCM of 570, 980, 752, 900, 993 is 52140841200.

2. How to calculate the LCM of 570, 980, 752, 900, 993?

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 570, 980, 752, 900, 993.

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}.