Given numbers are 570,254,760,713,920

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

The LCM of 570,254,760,713,920 is 206456280.

Find LCM of 570,254,760,713,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 23 x 3 x 127 x 1 x 31 x 1 = 206456280

Therefore, the lowest common multiple of 570,254,760,713,920 is 206456280.

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 254 x 760 x 713 x 920 = 72177115488000

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

254 : 1, 2, 127, 254

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

713 : 1, 23, 31, 713

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,254,760,713,920, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

254:2x 127

760:2x 2x 2x 5x 19

713:23x 31

920:2x 2x 2x 5x 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 2x 2x 5x 5x 19x 23 = 349600

Therefore, the value for common factors is 349600.

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 = 72177115488000/(1x349600)

LCM = 72177115488000/349600

LCM = 206456280

Thus, we can understand that the LCM of 570,254,760,713,920 is 206456280.

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

• LCM of 315, 902, 688, 526, 981
• LCM of 489, 721, 524, 603, 402
• LCM of 103, 686, 517, 807, 813
• LCM of 423, 162, 375, 405, 538
• LCM of 938, 781, 895, 653, 385

1. What is the LCM of 570, 254, 760, 713, 920?

Answer: LCM of 570, 254, 760, 713, 920 is 206456280.

2. How to calculate the LCM of 570, 254, 760, 713, 920?

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, 254, 760, 713, 920.

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}.