Given numbers are 677,949,689

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

The LCM of 677,949,689 is 34051069.

Find LCM of 677,949,689 with Prime Factorization

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

13 x 677 x 73 x 53 = 34051069

Therefore, the lowest common multiple of 677,949,689 is 34051069.

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.

677 x 949 x 689 = 442663897

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.

677 : 1, 677

949 : 1, 13, 73, 949

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,949,689, is 1.

Now, the common factors can be found like this.

677:677

949:13x 73

689:13x 53

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

13 = 13

Therefore, the value for common factors is 13.

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 = 442663897/(1x13)

LCM = 442663897/13

LCM = 34051069

Thus, we can understand that the LCM of 677,949,689 is 34051069.

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

• LCM of 574, 413, 997
• LCM of 318, 289, 705
• LCM of 286, 484, 922
• LCM of 815, 445, 613
• LCM of 133, 818, 264

1. What is the LCM of 677, 949, 689?

Answer: LCM of 677, 949, 689 is 34051069.

2. How to calculate the LCM of 677, 949, 689?

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 677, 949, 689.

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}.