Given numbers are 324,118,649,214

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

The LCM of 324,118,649,214 is 22499532.

Find LCM of 324,118,649,214 with Prime Factorization

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

2 x 59 x 162 x 1 x 11 x 107 = 22499532

Therefore, the lowest common multiple of 324,118,649,214 is 22499532.

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.

324 x 118 x 649 x 214 = 5309889552

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

118 : 1, 2, 59, 118

649 : 1, 11, 59, 649

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,118,649,214, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

118:2x 59

649:11x 59

214:2x 107

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 59 = 236

Therefore, the value for common factors is 236.

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 = 5309889552/(1x236)

LCM = 5309889552/236

LCM = 22499532

Thus, we can understand that the LCM of 324,118,649,214 is 22499532.

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

• LCM of 867, 878, 504, 865
• LCM of 901, 198, 220, 948
• LCM of 823, 410, 600, 987
• LCM of 938, 970, 988, 682
• LCM of 712, 242, 979, 677

1. What is the LCM of 324, 118, 649, 214?

Answer: LCM of 324, 118, 649, 214 is 22499532.

2. How to calculate the LCM of 324, 118, 649, 214?

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 324, 118, 649, 214.

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}.