Given numbers are 760,850,810,824,460

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

The LCM of 760,850,810,824,460 is 12396029400.

Find LCM of 760,850,810,824,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 85 x 81 x 103 x 23 = 12396029400

Therefore, the lowest common multiple of 760,850,810,824,460 is 12396029400.

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.

760 x 850 x 810 x 824 x 460 = 198336470400000

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.

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

824 : 1, 2, 4, 8, 103, 206, 412, 824

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,850,810,824,460, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

850:2x 5x 5x 17

810:2x 3x 3x 3x 3x 5

824:2x 2x 2x 103

460:2x 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 2x 5x 5x 5 = 8000

Therefore, the value for common factors is 8000.

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 = 198336470400000/(2x8000)

LCM = 198336470400000/16000

LCM = 12396029400

Thus, we can understand that the LCM of 760,850,810,824,460 is 12396029400.

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

• LCM of 511, 554, 300, 452, 369
• LCM of 682, 861, 373, 232, 993
• LCM of 611, 488, 509, 843, 308
• LCM of 950, 347, 909, 642, 567
• LCM of 265, 902, 182, 207, 151

1. What is the LCM of 760, 850, 810, 824, 460?

Answer: LCM of 760, 850, 810, 824, 460 is 12396029400.

2. How to calculate the LCM of 760, 850, 810, 824, 460?

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 760, 850, 810, 824, 460.

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}.