Given numbers are 214,409,835,167,117

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

The LCM of 214,409,835,167,117 is 8550852570.

Find LCM of 214,409,835,167,117 with Prime Factorization

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

167 x 214 x 409 x 5 x 1 x 117 = 8550852570

Therefore, the lowest common multiple of 214,409,835,167,117 is 8550852570.

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.

214 x 409 x 835 x 167 x 117 = 1427992379190

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.

214 : 1, 2, 107, 214

409 : 1, 409

835 : 1, 5, 167, 835

167 : 1, 167

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,409,835,167,117, is 1.

Now, the common factors can be found like this.

214:2x 107

409:409

835:5x 167

167:167

117:3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

167 = 167

Therefore, the value for common factors is 167.

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 = 1427992379190/(1x167)

LCM = 1427992379190/167

LCM = 8550852570

Thus, we can understand that the LCM of 214,409,835,167,117 is 8550852570.

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

• LCM of 368, 166, 417, 281, 778
• LCM of 236, 258, 397, 388, 431
• LCM of 270, 352, 522, 608, 456
• LCM of 661, 250, 227, 261, 652
• LCM of 894, 513, 591, 661, 163

1. What is the LCM of 214, 409, 835, 167, 117?

Answer: LCM of 214, 409, 835, 167, 117 is 8550852570.

2. How to calculate the LCM of 214, 409, 835, 167, 117?

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 214, 409, 835, 167, 117.

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}.