Given numbers are 968,504,862,924,993

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

The LCM of 968,504,862,924,993 is 8700038424.

Find LCM of 968,504,862,924,993 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 1 x 3 x 431 x 11 x 331 = 8700038424

Therefore, the lowest common multiple of 968,504,862,924,993 is 8700038424.

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.

968 x 504 x 862 x 924 x 993 = 385864104181248

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

862 : 1, 2, 431, 862

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,504,862,924,993, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

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

862:2x 431

924:2x 2x 3x 7x 11

993:3x 331

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 3x 3x 7x 11 = 44352

Therefore, the value for common factors is 44352.

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 = 385864104181248/(1x44352)

LCM = 385864104181248/44352

LCM = 8700038424

Thus, we can understand that the LCM of 968,504,862,924,993 is 8700038424.

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

• LCM of 409, 389, 124, 243, 652
• LCM of 614, 151, 488, 194, 342
• LCM of 780, 610, 942, 148, 205
• LCM of 637, 803, 525, 504, 128
• LCM of 291, 812, 487, 893, 451

1. What is the LCM of 968, 504, 862, 924, 993?

Answer: LCM of 968, 504, 862, 924, 993 is 8700038424.

2. How to calculate the LCM of 968, 504, 862, 924, 993?

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 968, 504, 862, 924, 993.

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}.