Given numbers are 814,118,370,488

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

The LCM of 814,118,370,488 is 58591720.

Find LCM of 814,118,370,488 with Prime Factorization

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

2 x 37 x 11 x 59 x 5 x 244 = 58591720

Therefore, the lowest common multiple of 814,118,370,488 is 58591720.

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 118 x 370 x 488 = 17343149120

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

118 : 1, 2, 59, 118

370 : 1, 2, 5, 10, 37, 74, 185, 370

488 : 1, 2, 4, 8, 61, 122, 244, 488

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,118,370,488, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

118:2x 59

370:2x 5x 37

488:2x 2x 2x 61

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 37 = 148

Therefore, the value for common factors is 148.

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 = 17343149120/(2x148)

LCM = 17343149120/296

LCM = 58591720

Thus, we can understand that the LCM of 814,118,370,488 is 58591720.

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

• LCM of 800, 985, 945, 266
• LCM of 320, 821, 728, 564
• LCM of 700, 954, 677, 961
• LCM of 521, 333, 144, 947
• LCM of 330, 632, 756, 646

1. What is the LCM of 814, 118, 370, 488?

Answer: LCM of 814, 118, 370, 488 is 58591720.

2. How to calculate the LCM of 814, 118, 370, 488?

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, 118, 370, 488.

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}.