Given numbers are 689,148,538

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

The LCM of 689,148,538 is 27430468.

Find LCM of 689,148,538 with Prime Factorization

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

2 x 689 x 74 x 269 = 27430468

Therefore, the lowest common multiple of 689,148,538 is 27430468.

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.

689 x 148 x 538 = 54860936

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.

689 : 1, 13, 53, 689

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

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,148,538, is 1.

Now, the common factors can be found like this.

689:13x 53

148:2x 2x 37

538:2x 269

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 = 54860936/(1x2)

LCM = 54860936/2

LCM = 27430468

Thus, we can understand that the LCM of 689,148,538 is 27430468.

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

• LCM of 671, 550, 971
• LCM of 386, 567, 211
• LCM of 266, 343, 607
• LCM of 258, 925, 710
• LCM of 319, 681, 414

1. What is the LCM of 689, 148, 538?

Answer: LCM of 689, 148, 538 is 27430468.

2. How to calculate the LCM of 689, 148, 538?

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 689, 148, 538.

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}.