Given numbers are 676,341,292,723

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

The LCM of 676,341,292,723 is 12166403964.

Find LCM of 676,341,292,723 with Prime Factorization

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

2 x 2 x 169 x 341 x 73 x 723 = 12166403964

Therefore, the lowest common multiple of 676,341,292,723 is 12166403964.

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.

676 x 341 x 292 x 723 = 48665615856

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

341 : 1, 11, 31, 341

292 : 1, 2, 4, 73, 146, 292

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,341,292,723, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

341:11x 31

292:2x 2x 73

723:3x 241

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 48665615856/(1x4)

LCM = 48665615856/4

LCM = 12166403964

Thus, we can understand that the LCM of 676,341,292,723 is 12166403964.

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

• LCM of 132, 530, 711, 681
• LCM of 909, 560, 786, 834
• LCM of 998, 657, 302, 357
• LCM of 657, 521, 952, 456
• LCM of 737, 277, 807, 209

1. What is the LCM of 676, 341, 292, 723?

Answer: LCM of 676, 341, 292, 723 is 12166403964.

2. How to calculate the LCM of 676, 341, 292, 723?

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 676, 341, 292, 723.

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}.