Given numbers are 814,876,278

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

The LCM of 814,876,278 is 49557948.

Find LCM of 814,876,278 with Prime Factorization

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

2 x 407 x 438 x 139 = 49557948

Therefore, the lowest common multiple of 814,876,278 is 49557948.

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 876 x 278 = 198231792

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,876,278, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

876:2x 2x 3x 73

278:2x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 198231792/(2x2)

LCM = 198231792/4

LCM = 49557948

Thus, we can understand that the LCM of 814,876,278 is 49557948.

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

• LCM of 273, 759, 162
• LCM of 553, 338, 535
• LCM of 736, 714, 145
• LCM of 267, 150, 250
• LCM of 861, 844, 101

1. What is the LCM of 814, 876, 278?

Answer: LCM of 814, 876, 278 is 49557948.

2. How to calculate the LCM of 814, 876, 278?

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, 876, 278.

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}.