Given numbers are 213,119,286,114

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

The LCM of 213,119,286,114 is 137735598.

Find LCM of 213,119,286,114 with Prime Factorization

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

2 x 3 x 71 x 119 x 143 x 19 = 137735598

Therefore, the lowest common multiple of 213,119,286,114 is 137735598.

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.

213 x 119 x 286 x 114 = 826413588

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.

213 : 1, 3, 71, 213

119 : 1, 7, 17, 119

286 : 1, 2, 11, 13, 22, 26, 143, 286

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,119,286,114, is 1.

Now, the common factors can be found like this.

213:3x 71

119:7x 17

286:2x 11x 13

114:2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 826413588/(1x6)

LCM = 826413588/6

LCM = 137735598

Thus, we can understand that the LCM of 213,119,286,114 is 137735598.

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

• LCM of 814, 412, 737, 705
• LCM of 117, 286, 935, 909
• LCM of 375, 333, 273, 218
• LCM of 270, 766, 174, 109
• LCM of 783, 692, 429, 838

1. What is the LCM of 213, 119, 286, 114?

Answer: LCM of 213, 119, 286, 114 is 137735598.

2. How to calculate the LCM of 213, 119, 286, 114?

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 213, 119, 286, 114.

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}.