Given numbers are 830,273,447,430,900

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

The LCM of 830,273,447,430,900 is 43552863900.

Find LCM of 830,273,447,430,900 with Prime Factorization

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

2 x 3 x 5 x 83 x 91 x 149 x 43 x 30 = 43552863900

Therefore, the lowest common multiple of 830,273,447,430,900 is 43552863900.

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.

830 x 273 x 447 x 430 x 900 = 39197577510000

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.

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

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

447 : 1, 3, 149, 447

430 : 1, 2, 5, 10, 43, 86, 215, 430

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,273,447,430,900, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

273:3x 7x 13

447:3x 149

430:2x 5x 43

900:2x 2x 3x 3x 5x 5

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 39197577510000/(1x900)

LCM = 39197577510000/900

LCM = 43552863900

Thus, we can understand that the LCM of 830,273,447,430,900 is 43552863900.

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

• LCM of 818, 875, 925, 408, 156
• LCM of 287, 763, 820, 229, 911
• LCM of 544, 320, 212, 624, 982
• LCM of 658, 644, 902, 776, 145
• LCM of 652, 921, 452, 748, 505

1. What is the LCM of 830, 273, 447, 430, 900?

Answer: LCM of 830, 273, 447, 430, 900 is 43552863900.

2. How to calculate the LCM of 830, 273, 447, 430, 900?

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 830, 273, 447, 430, 900.

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}.