Given numbers are 504,989,942,201,990

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

The LCM of 504,989,942,201,990 is 288379226520.

Find LCM of 504,989,942,201,990 with Prime Factorization

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

2 x 3 x 3 x 28 x 989 x 157 x 67 x 55 = 288379226520

Therefore, the lowest common multiple of 504,989,942,201,990 is 288379226520.

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.

504 x 989 x 942 x 201 x 990 = 93434869392480

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

989 : 1, 23, 43, 989

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

201 : 1, 3, 67, 201

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,989,942,201,990, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

989:23x 43

942:2x 3x 157

201:3x 67

990:2x 3x 3x 5x 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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 93434869392480/(1x324)

LCM = 93434869392480/324

LCM = 288379226520

Thus, we can understand that the LCM of 504,989,942,201,990 is 288379226520.

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

• LCM of 371, 123, 282, 960, 632
• LCM of 454, 440, 125, 211, 512
• LCM of 674, 427, 691, 148, 235
• LCM of 224, 634, 383, 306, 150
• LCM of 674, 483, 478, 513, 122

1. What is the LCM of 504, 989, 942, 201, 990?

Answer: LCM of 504, 989, 942, 201, 990 is 288379226520.

2. How to calculate the LCM of 504, 989, 942, 201, 990?

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 504, 989, 942, 201, 990.

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}.