Given numbers are 630,830,752,614,290

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

The LCM of 630,830,752,614,290 is 175042239120.

Find LCM of 630,830,752,614,290 with Prime Factorization

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

2 x 5 x 63 x 83 x 376 x 307 x 29 = 175042239120

Therefore, the lowest common multiple of 630,830,752,614,290 is 175042239120.

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.

630 x 830 x 752 x 614 x 290 = 70016895648000

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

614 : 1, 2, 307, 614

290 : 1, 2, 5, 10, 29, 58, 145, 290

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,830,752,614,290, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

830:2x 5x 83

752:2x 2x 2x 2x 47

614:2x 307

290:2x 5x 29

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 70016895648000/(2x200)

LCM = 70016895648000/400

LCM = 175042239120

Thus, we can understand that the LCM of 630,830,752,614,290 is 175042239120.

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

• LCM of 537, 320, 599, 116, 892
• LCM of 333, 120, 493, 191, 679
• LCM of 886, 518, 861, 332, 710
• LCM of 434, 907, 742, 626, 466
• LCM of 697, 910, 454, 716, 296

1. What is the LCM of 630, 830, 752, 614, 290?

Answer: LCM of 630, 830, 752, 614, 290 is 175042239120.

2. How to calculate the LCM of 630, 830, 752, 614, 290?

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 630, 830, 752, 614, 290.

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}.