Given numbers are 570,240,276,770,970

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

The LCM of 570,240,276,770,970 is 783348720.

Find LCM of 570,240,276,770,970 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 4 x 23 x 77 x 97 = 783348720

Therefore, the lowest common multiple of 570,240,276,770,970 is 783348720.

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 240 x 276 x 770 x 970 = 28200553920000

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

970 : 1, 2, 5, 10, 97, 194, 485, 970

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,240,276,770,970, is 2.

Now, the common factors can be found like this.

570:2x 3x 5x 19

240:2x 2x 2x 2x 3x 5

276:2x 2x 3x 23

770:2x 5x 7x 11

970:2x 5x 97

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 3x 3x 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 28200553920000/(2x18000)

LCM = 28200553920000/36000

LCM = 783348720

Thus, we can understand that the LCM of 570,240,276,770,970 is 783348720.

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

• LCM of 752, 897, 494, 512, 186
• LCM of 422, 711, 716, 698, 219
• LCM of 621, 761, 398, 240, 352
• LCM of 538, 175, 557, 507, 753
• LCM of 886, 881, 178, 693, 155

1. What is the LCM of 570, 240, 276, 770, 970?

Answer: LCM of 570, 240, 276, 770, 970 is 783348720.

2. How to calculate the LCM of 570, 240, 276, 770, 970?

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, 240, 276, 770, 970.

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}.