Given numbers are 828,367,652,980

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

The LCM of 828,367,652,980 is 12135288060.

Find LCM of 828,367,652,980 with Prime Factorization

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

2 x 2 x 207 x 367 x 163 x 245 = 12135288060

Therefore, the lowest common multiple of 828,367,652,980 is 12135288060.

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 367 x 652 x 980 = 194164608960

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

367 : 1, 367

652 : 1, 2, 4, 163, 326, 652

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,367,652,980, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

367:367

652:2x 2x 163

980:2x 2x 5x 7x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 194164608960/(1x16)

LCM = 194164608960/16

LCM = 12135288060

Thus, we can understand that the LCM of 828,367,652,980 is 12135288060.

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

• LCM of 206, 996, 595, 122
• LCM of 678, 372, 148, 140
• LCM of 610, 991, 849, 501
• LCM of 793, 298, 469, 356
• LCM of 496, 962, 540, 339

1. What is the LCM of 828, 367, 652, 980?

Answer: LCM of 828, 367, 652, 980 is 12135288060.

2. How to calculate the LCM of 828, 367, 652, 980?

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, 367, 652, 980.

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}.