Given numbers are 852,252,984,920,994

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

The LCM of 852,252,984,920,994 is 168721560.

Find LCM of 852,252,984,920,994 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 71 x 1 x 3 x 41 x 115 x 1 = 168721560

Therefore, the lowest common multiple of 852,252,984,920,994 is 168721560.

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.

852 x 252 x 984 x 920 x 994 = 193201033697280

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,252,984,920,994, is 2.

Now, the common factors can be found like this.

852:2x 2x 3x 71

252:2x 2x 3x 3x 7

984:2x 2x 2x 3x 41

920:2x 2x 2x 5x 23

994:2x 7x 71

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 2x 2x 2x 2x 3x 3x 7x 71 = 572544

Therefore, the value for common factors is 572544.

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 = 193201033697280/(2x572544)

LCM = 193201033697280/1145088

LCM = 168721560

Thus, we can understand that the LCM of 852,252,984,920,994 is 168721560.

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

• LCM of 573, 547, 915, 994, 367
• LCM of 388, 429, 571, 384, 266
• LCM of 294, 257, 561, 825, 560
• LCM of 665, 739, 695, 913, 574
• LCM of 581, 905, 980, 750, 290

1. What is the LCM of 852, 252, 984, 920, 994?

Answer: LCM of 852, 252, 984, 920, 994 is 168721560.

2. How to calculate the LCM of 852, 252, 984, 920, 994?

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 852, 252, 984, 920, 994.

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}.