Given numbers are 561,686,303,426,180

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

The LCM of 561,686,303,426,180 is 82791919980.

Find LCM of 561,686,303,426,180 with Prime Factorization

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

2 x 3 x 187 x 343 x 101 x 71 x 30 = 82791919980

Therefore, the lowest common multiple of 561,686,303,426,180 is 82791919980.

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.

561 x 686 x 303 x 426 x 180 = 8941527357840

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

686 : 1, 2, 7, 14, 49, 98, 343, 686

303 : 1, 3, 101, 303

426 : 1, 2, 3, 6, 71, 142, 213, 426

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,686,303,426,180, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

686:2x 7x 7x 7

303:3x 101

426:2x 3x 71

180:2x 2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 8941527357840/(1x108)

LCM = 8941527357840/108

LCM = 82791919980

Thus, we can understand that the LCM of 561,686,303,426,180 is 82791919980.

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

• LCM of 602, 553, 413, 779, 110
• LCM of 105, 256, 861, 944, 886
• LCM of 129, 917, 404, 972, 202
• LCM of 538, 387, 156, 652, 436
• LCM of 897, 503, 407, 887, 291

1. What is the LCM of 561, 686, 303, 426, 180?

Answer: LCM of 561, 686, 303, 426, 180 is 82791919980.

2. How to calculate the LCM of 561, 686, 303, 426, 180?

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 561, 686, 303, 426, 180.

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}.