Given numbers are 828,198,349,980,810

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

The LCM of 828,198,349,980,810 is 7009015860.

Find LCM of 828,198,349,980,810 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 11 x 349 x 49 x 9 = 7009015860

Therefore, the lowest common multiple of 828,198,349,980,810 is 7009015860.

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.

828 x 198 x 349 x 980 x 810 = 45418422772800

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.

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

349 : 1, 349

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,198,349,980,810, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

198:2x 3x 3x 11

349:349

980:2x 2x 5x 7x 7

810:2x 3x 3x 3x 3x 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 2x 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 45418422772800/(1x6480)

LCM = 45418422772800/6480

LCM = 7009015860

Thus, we can understand that the LCM of 828,198,349,980,810 is 7009015860.

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

• LCM of 544, 401, 473, 187, 837
• LCM of 408, 562, 204, 212, 136
• LCM of 169, 624, 661, 966, 181
• LCM of 131, 253, 878, 170, 585
• LCM of 348, 302, 128, 649, 856

1. What is the LCM of 828, 198, 349, 980, 810?

Answer: LCM of 828, 198, 349, 980, 810 is 7009015860.

2. How to calculate the LCM of 828, 198, 349, 980, 810?

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 828, 198, 349, 980, 810.

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}.