Given numbers are 214,650,129,978,188

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

The LCM of 214,650,129,978,188 is 137468217900.

Find LCM of 214,650,129,978,188 with Prime Factorization

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

2 x 3 x 107 x 325 x 43 x 163 x 94 = 137468217900

Therefore, the lowest common multiple of 214,650,129,978,188 is 137468217900.

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 650 x 129 x 978 x 188 = 3299237229600

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

129 : 1, 3, 43, 129

978 : 1, 2, 3, 6, 163, 326, 489, 978

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,650,129,978,188, is 1.

Now, the common factors can be found like this.

214:2x 107

650:2x 5x 5x 13

129:3x 43

978:2x 3x 163

188:2x 2x 47

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3299237229600/(1x24)

LCM = 3299237229600/24

LCM = 137468217900

Thus, we can understand that the LCM of 214,650,129,978,188 is 137468217900.

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

• LCM of 639, 708, 171, 494, 865
• LCM of 245, 832, 289, 973, 108
• LCM of 661, 493, 771, 938, 507
• LCM of 667, 718, 704, 671, 579
• LCM of 181, 546, 945, 970, 362

1. What is the LCM of 214, 650, 129, 978, 188?

Answer: LCM of 214, 650, 129, 978, 188 is 137468217900.

2. How to calculate the LCM of 214, 650, 129, 978, 188?

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, 650, 129, 978, 188.

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}.