Given numbers are 271,968,924,916

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

The LCM of 271,968,924,916 is 1261535352.

Find LCM of 271,968,924,916 with Prime Factorization

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

2 x 2 x 11 x 271 x 22 x 21 x 229 = 1261535352

Therefore, the lowest common multiple of 271,968,924,916 is 1261535352.

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.

271 x 968 x 924 x 916 = 222030221952

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.

271 : 1, 271

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

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

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,968,924,916, is 1.

Now, the common factors can be found like this.

271:271

968:2x 2x 2x 11x 11

924:2x 2x 3x 7x 11

916:2x 2x 229

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 11 = 176

Therefore, the value for common factors is 176.

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 = 222030221952/(1x176)

LCM = 222030221952/176

LCM = 1261535352

Thus, we can understand that the LCM of 271,968,924,916 is 1261535352.

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

• LCM of 948, 553, 760, 117
• LCM of 455, 629, 987, 168
• LCM of 266, 828, 577, 370
• LCM of 509, 562, 616, 817
• LCM of 584, 416, 462, 908

1. What is the LCM of 271, 968, 924, 916?

Answer: LCM of 271, 968, 924, 916 is 1261535352.

2. How to calculate the LCM of 271, 968, 924, 916?

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 271, 968, 924, 916.

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}.