Given numbers are 214,126,121,190

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

The LCM of 214,126,121,190 is 154975590.

Find LCM of 214,126,121,190 with Prime Factorization

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

2 x 107 x 63 x 121 x 95 = 154975590

Therefore, the lowest common multiple of 214,126,121,190 is 154975590.

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 126 x 121 x 190 = 619902360

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

121 : 1, 11, 121

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,126,121,190, is 1.

Now, the common factors can be found like this.

214:2x 107

126:2x 3x 3x 7

121:11x 11

190:2x 5x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 619902360/(1x4)

LCM = 619902360/4

LCM = 154975590

Thus, we can understand that the LCM of 214,126,121,190 is 154975590.

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

• LCM of 574, 322, 898, 308
• LCM of 602, 460, 292, 334
• LCM of 385, 365, 429, 176
• LCM of 549, 817, 343, 325
• LCM of 689, 581, 759, 954

1. What is the LCM of 214, 126, 121, 190?

Answer: LCM of 214, 126, 121, 190 is 154975590.

2. How to calculate the LCM of 214, 126, 121, 190?

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, 126, 121, 190.

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}.