Given numbers are 677,358,514

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

The LCM of 677,358,514 is 62288062.

Find LCM of 677,358,514 with Prime Factorization

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

2 x 677 x 179 x 257 = 62288062

Therefore, the lowest common multiple of 677,358,514 is 62288062.

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 358 x 514 = 124576124

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

358 : 1, 2, 179, 358

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,358,514, is 1.

Now, the common factors can be found like this.

677:677

358:2x 179

514:2x 257

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 = 124576124/(1x2)

LCM = 124576124/2

LCM = 62288062

Thus, we can understand that the LCM of 677,358,514 is 62288062.

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

• LCM of 339, 790, 945
• LCM of 581, 397, 989
• LCM of 839, 744, 534
• LCM of 140, 723, 469
• LCM of 807, 450, 532

1. What is the LCM of 677, 358, 514?

Answer: LCM of 677, 358, 514 is 62288062.

2. How to calculate the LCM of 677, 358, 514?

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, 358, 514.

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}.