Given numbers are 657,723,142

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

The LCM of 657,723,142 is 22483854.

Find LCM of 657,723,142 with Prime Factorization

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

3 x 219 x 241 x 142 = 22483854

Therefore, the lowest common multiple of 657,723,142 is 22483854.

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.

657 x 723 x 142 = 67451562

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.

657 : 1, 3, 9, 73, 219, 657

723 : 1, 3, 241, 723

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,723,142, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

723:3x 241

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 67451562/(1x3)

LCM = 67451562/3

LCM = 22483854

Thus, we can understand that the LCM of 657,723,142 is 22483854.

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

• LCM of 485, 254, 807
• LCM of 166, 762, 547
• LCM of 987, 165, 345
• LCM of 798, 630, 208
• LCM of 933, 136, 854

1. What is the LCM of 657, 723, 142?

Answer: LCM of 657, 723, 142 is 22483854.

2. How to calculate the LCM of 657, 723, 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 657, 723, 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}.