Given numbers are 828,772,741,490

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

The LCM of 828,772,741,490 is 9670539060.

Find LCM of 828,772,741,490 with Prime Factorization

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

2 x 2 x 3 x 69 x 193 x 247 x 245 = 9670539060

Therefore, the lowest common multiple of 828,772,741,490 is 9670539060.

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 772 x 741 x 490 = 232092937440

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

772 : 1, 2, 4, 193, 386, 772

741 : 1, 3, 13, 19, 39, 57, 247, 741

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,772,741,490, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

772:2x 2x 193

741:3x 13x 19

490:2x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 232092937440/(1x24)

LCM = 232092937440/24

LCM = 9670539060

Thus, we can understand that the LCM of 828,772,741,490 is 9670539060.

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

• LCM of 672, 117, 913, 202
• LCM of 689, 998, 158, 444
• LCM of 774, 352, 598, 673
• LCM of 935, 933, 791, 807
• LCM of 978, 183, 732, 634

1. What is the LCM of 828, 772, 741, 490?

Answer: LCM of 828, 772, 741, 490 is 9670539060.

2. How to calculate the LCM of 828, 772, 741, 490?

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, 772, 741, 490.

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}.