Given numbers are 143,192,214,102

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

The LCM of 143,192,214,102 is 49942464.

Find LCM of 143,192,214,102 with Prime Factorization

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

2 x 3 x 143 x 32 x 107 x 17 = 49942464

Therefore, the lowest common multiple of 143,192,214,102 is 49942464.

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.

143 x 192 x 214 x 102 = 599309568

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.

143 : 1, 11, 13, 143

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

214 : 1, 2, 107, 214

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,192,214,102, is 1.

Now, the common factors can be found like this.

143:11x 13

192:2x 2x 2x 2x 2x 2x 3

214:2x 107

102:2x 3x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 599309568/(1x12)

LCM = 599309568/12

LCM = 49942464

Thus, we can understand that the LCM of 143,192,214,102 is 49942464.

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

• LCM of 550, 519, 684, 698
• LCM of 931, 726, 751, 814
• LCM of 155, 170, 381, 976
• LCM of 658, 744, 371, 338
• LCM of 595, 375, 527, 902

1. What is the LCM of 143, 192, 214, 102?

Answer: LCM of 143, 192, 214, 102 is 49942464.

2. How to calculate the LCM of 143, 192, 214, 102?

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 143, 192, 214, 102.

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}.