Given numbers are 229,124,310,821

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

The LCM of 229,124,310,821 is 116565580.

Find LCM of 229,124,310,821 with Prime Factorization

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

2 x 31 x 229 x 2 x 5 x 821 = 116565580

Therefore, the lowest common multiple of 229,124,310,821 is 116565580.

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.

229 x 124 x 310 x 821 = 7227065960

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.

229 : 1, 229

124 : 1, 2, 4, 31, 62, 124

310 : 1, 2, 5, 10, 31, 62, 155, 310

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,124,310,821, is 1.

Now, the common factors can be found like this.

229:229

124:2x 2x 31

310:2x 5x 31

821:821

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 7227065960/(1x62)

LCM = 7227065960/62

LCM = 116565580

Thus, we can understand that the LCM of 229,124,310,821 is 116565580.

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

• LCM of 917, 684, 947, 113
• LCM of 611, 787, 900, 675
• LCM of 325, 606, 123, 721
• LCM of 932, 467, 917, 483
• LCM of 675, 699, 778, 221

1. What is the LCM of 229, 124, 310, 821?

Answer: LCM of 229, 124, 310, 821 is 116565580.

2. How to calculate the LCM of 229, 124, 310, 821?

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 229, 124, 310, 821.

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}.