Given numbers are 772,440,870,742,524

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

The LCM of 772,440,870,742,524 is 359066132040.

Find LCM of 772,440,870,742,524 with Prime Factorization

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

2 x 2 x 5 x 193 x 22 x 87 x 371 x 131 = 359066132040

Therefore, the lowest common multiple of 772,440,870,742,524 is 359066132040.

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.

772 x 440 x 870 x 742 x 524 = 114901162252800

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.

772 : 1, 2, 4, 193, 386, 772

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

742 : 1, 2, 7, 14, 53, 106, 371, 742

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,440,870,742,524, is 2.

Now, the common factors can be found like this.

772:2x 2x 193

440:2x 2x 2x 5x 11

870:2x 3x 5x 29

742:2x 7x 53

524:2x 2x 131

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 5 = 160

Therefore, the value for common factors is 160.

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 = 114901162252800/(2x160)

LCM = 114901162252800/320

LCM = 359066132040

Thus, we can understand that the LCM of 772,440,870,742,524 is 359066132040.

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

• LCM of 175, 600, 609, 733, 182
• LCM of 515, 386, 225, 825, 709
• LCM of 942, 306, 409, 359, 288
• LCM of 593, 273, 807, 310, 499
• LCM of 212, 611, 325, 883, 155

1. What is the LCM of 772, 440, 870, 742, 524?

Answer: LCM of 772, 440, 870, 742, 524 is 359066132040.

2. How to calculate the LCM of 772, 440, 870, 742, 524?

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 772, 440, 870, 742, 524.

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}.