Given numbers are 827,210,424

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

The LCM of 827,210,424 is 36818040.

Find LCM of 827,210,424 with Prime Factorization

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

2 x 827 x 105 x 212 = 36818040

Therefore, the lowest common multiple of 827,210,424 is 36818040.

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.

827 x 210 x 424 = 73636080

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.

827 : 1, 827

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,210,424, is 1.

Now, the common factors can be found like this.

827:827

210:2x 3x 5x 7

424:2x 2x 2x 53

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 = 73636080/(1x2)

LCM = 73636080/2

LCM = 36818040

Thus, we can understand that the LCM of 827,210,424 is 36818040.

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

• LCM of 299, 552, 612
• LCM of 976, 117, 946
• LCM of 561, 612, 916
• LCM of 120, 630, 501
• LCM of 301, 209, 151

1. What is the LCM of 827, 210, 424?

Answer: LCM of 827, 210, 424 is 36818040.

2. How to calculate the LCM of 827, 210, 424?

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 827, 210, 424.

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}.