Given numbers are 150,676,802,409,198

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

The LCM of 150,676,802,409,198 is 274403457900.

Find LCM of 150,676,802,409,198 with Prime Factorization

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

2 x 3 x 25 x 338 x 401 x 409 x 33 = 274403457900

Therefore, the lowest common multiple of 150,676,802,409,198 is 274403457900.

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.

150 x 676 x 802 x 409 x 198 = 6585682989600

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

802 : 1, 2, 401, 802

409 : 1, 409

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,676,802,409,198, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

676:2x 2x 13x 13

802:2x 401

409:409

198:2x 3x 3x 11

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 = 6585682989600/(1x24)

LCM = 6585682989600/24

LCM = 274403457900

Thus, we can understand that the LCM of 150,676,802,409,198 is 274403457900.

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

• LCM of 578, 100, 722, 534, 566
• LCM of 592, 868, 841, 147, 893
• LCM of 880, 592, 636, 951, 934
• LCM of 635, 909, 604, 523, 270
• LCM of 157, 956, 748, 905, 643

1. What is the LCM of 150, 676, 802, 409, 198?

Answer: LCM of 150, 676, 802, 409, 198 is 274403457900.

2. How to calculate the LCM of 150, 676, 802, 409, 198?

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 150, 676, 802, 409, 198.

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}.