Given numbers are 902,828,348,824

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

The LCM of 902,828,348,824 is 2230858872.

Find LCM of 902,828,348,824 with Prime Factorization

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

2 x 2 x 3 x 451 x 69 x 29 x 206 = 2230858872

Therefore, the lowest common multiple of 902,828,348,824 is 2230858872.

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.

902 x 828 x 348 x 824 = 214162451712

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,828,348,824, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

828:2x 2x 3x 3x 23

348:2x 2x 3x 29

824:2x 2x 2x 103

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 3 = 48

Therefore, the value for common factors is 48.

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 = 214162451712/(2x48)

LCM = 214162451712/96

LCM = 2230858872

Thus, we can understand that the LCM of 902,828,348,824 is 2230858872.

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

• LCM of 386, 212, 976, 816
• LCM of 890, 990, 293, 674
• LCM of 501, 993, 339, 559
• LCM of 401, 295, 271, 108
• LCM of 734, 300, 880, 886

1. What is the LCM of 902, 828, 348, 824?

Answer: LCM of 902, 828, 348, 824 is 2230858872.

2. How to calculate the LCM of 902, 828, 348, 824?

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 902, 828, 348, 824.

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}.