Given numbers are 122,284,710,214

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

The LCM of 122,284,710,214 is 9268340.

Find LCM of 122,284,710,214 with Prime Factorization

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

2 x 71 x 61 x 2 x 5 x 107 = 9268340

Therefore, the lowest common multiple of 122,284,710,214 is 9268340.

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.

122 x 284 x 710 x 214 = 5264417120

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.

122 : 1, 2, 61, 122

284 : 1, 2, 4, 71, 142, 284

710 : 1, 2, 5, 10, 71, 142, 355, 710

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,284,710,214, is 2.

Now, the common factors can be found like this.

122:2x 61

284:2x 2x 71

710:2x 5x 71

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 71 = 284

Therefore, the value for common factors is 284.

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 = 5264417120/(2x284)

LCM = 5264417120/568

LCM = 9268340

Thus, we can understand that the LCM of 122,284,710,214 is 9268340.

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

• LCM of 229, 850, 258, 141
• LCM of 977, 528, 867, 177
• LCM of 610, 750, 941, 283
• LCM of 711, 469, 358, 983
• LCM of 801, 847, 667, 797

1. What is the LCM of 122, 284, 710, 214?

Answer: LCM of 122, 284, 710, 214 is 9268340.

2. How to calculate the LCM of 122, 284, 710, 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 122, 284, 710, 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}.