Given numbers are 422,285,942,576,987

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

The LCM of 422,285,942,576,987 is 596381405760.

Find LCM of 422,285,942,576,987 with Prime Factorization

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

2 x 3 x 211 x 95 x 157 x 96 x 329 = 596381405760

Therefore, the lowest common multiple of 422,285,942,576,987 is 596381405760.

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.

422 x 285 x 942 x 576 x 987 = 64409191822080

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.

422 : 1, 2, 211, 422

285 : 1, 3, 5, 15, 19, 57, 95, 285

942 : 1, 2, 3, 6, 157, 314, 471, 942

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,285,942,576,987, is 1.

Now, the common factors can be found like this.

422:2x 211

285:3x 5x 19

942:2x 3x 157

576:2x 2x 2x 2x 2x 2x 3x 3

987:3x 7x 47

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 = 64409191822080/(1x108)

LCM = 64409191822080/108

LCM = 596381405760

Thus, we can understand that the LCM of 422,285,942,576,987 is 596381405760.

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

• LCM of 289, 778, 200, 699, 174
• LCM of 506, 331, 194, 166, 540
• LCM of 946, 425, 808, 621, 385
• LCM of 208, 447, 815, 341, 773
• LCM of 567, 174, 564, 618, 275

1. What is the LCM of 422, 285, 942, 576, 987?

Answer: LCM of 422, 285, 942, 576, 987 is 596381405760.

2. How to calculate the LCM of 422, 285, 942, 576, 987?

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 422, 285, 942, 576, 987.

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}.