Given numbers are 814,307,263,296

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

The LCM of 814,307,263,296 is 262892696.

Find LCM of 814,307,263,296 with Prime Factorization

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

2 x 37 x 11 x 307 x 263 x 4 = 262892696

Therefore, the lowest common multiple of 814,307,263,296 is 262892696.

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.

814 x 307 x 263 x 296 = 19454059504

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

307 : 1, 307

263 : 1, 263

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,307,263,296, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

307:307

263:263

296:2x 2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 19454059504/(1x74)

LCM = 19454059504/74

LCM = 262892696

Thus, we can understand that the LCM of 814,307,263,296 is 262892696.

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

• LCM of 597, 928, 767, 141
• LCM of 265, 884, 115, 727
• LCM of 805, 147, 406, 981
• LCM of 877, 284, 364, 794
• LCM of 752, 137, 469, 939

1. What is the LCM of 814, 307, 263, 296?

Answer: LCM of 814, 307, 263, 296 is 262892696.

2. How to calculate the LCM of 814, 307, 263, 296?

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 814, 307, 263, 296.

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}.