Given numbers are 362,107,308,142

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

The LCM of 362,107,308,142 is 423517556.

Find LCM of 362,107,308,142 with Prime Factorization

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

2 x 181 x 107 x 154 x 71 = 423517556

Therefore, the lowest common multiple of 362,107,308,142 is 423517556.

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.

362 x 107 x 308 x 142 = 1694070224

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.

362 : 1, 2, 181, 362

107 : 1, 107

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,107,308,142, is 1.

Now, the common factors can be found like this.

362:2x 181

107:107

308:2x 2x 7x 11

142:2x 71

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 = 1694070224/(1x4)

LCM = 1694070224/4

LCM = 423517556

Thus, we can understand that the LCM of 362,107,308,142 is 423517556.

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

• LCM of 435, 806, 916, 796
• LCM of 173, 451, 448, 559
• LCM of 358, 720, 930, 713
• LCM of 425, 898, 113, 389
• LCM of 590, 825, 256, 963

1. What is the LCM of 362, 107, 308, 142?

Answer: LCM of 362, 107, 308, 142 is 423517556.

2. How to calculate the LCM of 362, 107, 308, 142?

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 362, 107, 308, 142.

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}.