Given numbers are 167,420,814

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

The LCM of 167,420,814 is 28546980.

Find LCM of 167,420,814 with Prime Factorization

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

2 x 167 x 210 x 407 = 28546980

Therefore, the lowest common multiple of 167,420,814 is 28546980.

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.

167 x 420 x 814 = 57093960

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.

167 : 1, 167

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,420,814, is 1.

Now, the common factors can be found like this.

167:167

420:2x 2x 3x 5x 7

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 = 57093960/(1x2)

LCM = 57093960/2

LCM = 28546980

Thus, we can understand that the LCM of 167,420,814 is 28546980.

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

• LCM of 765, 586, 387
• LCM of 932, 711, 749
• LCM of 235, 306, 890
• LCM of 609, 407, 784
• LCM of 367, 917, 703

1. What is the LCM of 167, 420, 814?

Answer: LCM of 167, 420, 814 is 28546980.

2. How to calculate the LCM of 167, 420, 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 167, 420, 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}.