Given numbers are 840,554,814

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

The LCM of 840,554,814 is 94700760.

Find LCM of 840,554,814 with Prime Factorization

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

2 x 420 x 277 x 407 = 94700760

Therefore, the lowest common multiple of 840,554,814 is 94700760.

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.

840 x 554 x 814 = 378803040

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

554 : 1, 2, 277, 554

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,554,814, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

554:2x 277

814:2x 11x 37

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 = 378803040/(2x2)

LCM = 378803040/4

LCM = 94700760

Thus, we can understand that the LCM of 840,554,814 is 94700760.

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

• LCM of 900, 795, 978
• LCM of 469, 407, 401
• LCM of 416, 503, 734
• LCM of 570, 536, 687
• LCM of 341, 133, 305

1. What is the LCM of 840, 554, 814?

Answer: LCM of 840, 554, 814 is 94700760.

2. How to calculate the LCM of 840, 554, 814?

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 840, 554, 814.

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}.