Given numbers are 862,301,148,142

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

The LCM of 862,301,148,142 is 1363213348.

Find LCM of 862,301,148,142 with Prime Factorization

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

2 x 431 x 301 x 74 x 71 = 1363213348

Therefore, the lowest common multiple of 862,301,148,142 is 1363213348.

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.

862 x 301 x 148 x 142 = 5452853392

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.

862 : 1, 2, 431, 862

301 : 1, 7, 43, 301

148 : 1, 2, 4, 37, 74, 148

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,301,148,142, is 1.

Now, the common factors can be found like this.

862:2x 431

301:7x 43

148:2x 2x 37

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 = 5452853392/(1x4)

LCM = 5452853392/4

LCM = 1363213348

Thus, we can understand that the LCM of 862,301,148,142 is 1363213348.

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

• LCM of 467, 883, 175, 667
• LCM of 177, 560, 293, 932
• LCM of 874, 968, 517, 168
• LCM of 863, 571, 502, 949
• LCM of 251, 561, 492, 652

1. What is the LCM of 862, 301, 148, 142?

Answer: LCM of 862, 301, 148, 142 is 1363213348.

2. How to calculate the LCM of 862, 301, 148, 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 862, 301, 148, 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}.