Given numbers are 628,135,142,971

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

The LCM of 628,135,142,971 is 5844817980.

Find LCM of 628,135,142,971 with Prime Factorization

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

2 x 314 x 135 x 71 x 971 = 5844817980

Therefore, the lowest common multiple of 628,135,142,971 is 5844817980.

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.

628 x 135 x 142 x 971 = 11689635960

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.

628 : 1, 2, 4, 157, 314, 628

135 : 1, 3, 5, 9, 15, 27, 45, 135

142 : 1, 2, 71, 142

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,135,142,971, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

135:3x 3x 3x 5

142:2x 71

971:971

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

2 = 2

Therefore, the value for common factors is 2.

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 = 11689635960/(1x2)

LCM = 11689635960/2

LCM = 5844817980

Thus, we can understand that the LCM of 628,135,142,971 is 5844817980.

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

• LCM of 386, 361, 988, 113
• LCM of 853, 922, 253, 377
• LCM of 267, 228, 838, 695
• LCM of 274, 516, 604, 268
• LCM of 230, 191, 722, 365

1. What is the LCM of 628, 135, 142, 971?

Answer: LCM of 628, 135, 142, 971 is 5844817980.

2. How to calculate the LCM of 628, 135, 142, 971?

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 628, 135, 142, 971.

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}.