Given numbers are 825,414,952,722,273

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

The LCM of 825,414,952,722,273 is 254325871800.

Find LCM of 825,414,952,722,273 with Prime Factorization

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

2 x 3 x 7 x 275 x 69 x 68 x 361 x 13 = 254325871800

Therefore, the lowest common multiple of 825,414,952,722,273 is 254325871800.

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.

825 x 414 x 952 x 722 x 273 = 64090119693600

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

722 : 1, 2, 19, 38, 361, 722

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,414,952,722,273, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

414:2x 3x 3x 23

952:2x 2x 2x 7x 17

722:2x 19x 19

273:3x 7x 13

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 64090119693600/(1x252)

LCM = 64090119693600/252

LCM = 254325871800

Thus, we can understand that the LCM of 825,414,952,722,273 is 254325871800.

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

• LCM of 167, 461, 393, 214, 875
• LCM of 993, 667, 174, 331, 148
• LCM of 459, 674, 640, 887, 675
• LCM of 844, 310, 562, 681, 742
• LCM of 917, 818, 363, 591, 920

1. What is the LCM of 825, 414, 952, 722, 273?

Answer: LCM of 825, 414, 952, 722, 273 is 254325871800.

2. How to calculate the LCM of 825, 414, 952, 722, 273?

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 825, 414, 952, 722, 273.

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}.