Given numbers are 814,538,159,274

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

The LCM of 814,538,159,274 is 4769736378.

Find LCM of 814,538,159,274 with Prime Factorization

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

2 x 407 x 269 x 159 x 137 = 4769736378

Therefore, the lowest common multiple of 814,538,159,274 is 4769736378.

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 538 x 159 x 274 = 19078945512

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

538 : 1, 2, 269, 538

159 : 1, 3, 53, 159

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,538,159,274, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

538:2x 269

159:3x 53

274:2x 137

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 19078945512/(1x4)

LCM = 19078945512/4

LCM = 4769736378

Thus, we can understand that the LCM of 814,538,159,274 is 4769736378.

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

• LCM of 491, 175, 491, 648
• LCM of 955, 461, 315, 642
• LCM of 941, 242, 706, 311
• LCM of 833, 402, 697, 482
• LCM of 724, 900, 242, 167

1. What is the LCM of 814, 538, 159, 274?

Answer: LCM of 814, 538, 159, 274 is 4769736378.

2. How to calculate the LCM of 814, 538, 159, 274?

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, 538, 159, 274.

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}.