Given numbers are 980,138,857,694,822

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

The LCM of 980,138,857,694,822 is 2754901213260.

Find LCM of 980,138,857,694,822 with Prime Factorization

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

2 x 3 x 490 x 23 x 857 x 347 x 137 = 2754901213260

Therefore, the lowest common multiple of 980,138,857,694,822 is 2754901213260.

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.

980 x 138 x 857 x 694 x 822 = 66117629118240

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

857 : 1, 857

694 : 1, 2, 347, 694

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,138,857,694,822, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

138:2x 3x 23

857:857

694:2x 347

822:2x 3x 137

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 = 66117629118240/(1x24)

LCM = 66117629118240/24

LCM = 2754901213260

Thus, we can understand that the LCM of 980,138,857,694,822 is 2754901213260.

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

• LCM of 948, 499, 505, 619, 763
• LCM of 187, 983, 733, 610, 834
• LCM of 427, 213, 817, 935, 812
• LCM of 769, 520, 674, 270, 842
• LCM of 961, 458, 423, 832, 896

1. What is the LCM of 980, 138, 857, 694, 822?

Answer: LCM of 980, 138, 857, 694, 822 is 2754901213260.

2. How to calculate the LCM of 980, 138, 857, 694, 822?

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 980, 138, 857, 694, 822.

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}.