Given numbers are 677,845,949

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

The LCM of 677,845,949 is 41760745.

Find LCM of 677,845,949 with Prime Factorization

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

13 x 677 x 65 x 73 = 41760745

Therefore, the lowest common multiple of 677,845,949 is 41760745.

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 845 x 949 = 542889685

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

845 : 1, 5, 13, 65, 169, 845

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,845,949, is 1.

Now, the common factors can be found like this.

677:677

845:5x 13x 13

949:13x 73

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 = 542889685/(1x13)

LCM = 542889685/13

LCM = 41760745

Thus, we can understand that the LCM of 677,845,949 is 41760745.

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

• LCM of 376, 682, 279
• LCM of 433, 673, 899
• LCM of 247, 950, 397
• LCM of 434, 670, 843
• LCM of 274, 135, 292

1. What is the LCM of 677, 845, 949?

Answer: LCM of 677, 845, 949 is 41760745.

2. How to calculate the LCM of 677, 845, 949?

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, 845, 949.

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}.