Given numbers are 676,546,971,392,180

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

The LCM of 676,546,971,392,180 is 2894706360.

Find LCM of 676,546,971,392,180 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 13 x 971 x 14 x 15 = 2894706360

Therefore, the lowest common multiple of 676,546,971,392,180 is 2894706360.

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 546 x 971 x 392 x 180 = 25288154760960

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

971 : 1, 971

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,546,971,392,180, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

546:2x 3x 7x 13

971:971

392:2x 2x 2x 7x 7

180:2x 2x 3x 3x 5

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

2x 2x 2x 2x 2x 3x 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 25288154760960/(1x8736)

LCM = 25288154760960/8736

LCM = 2894706360

Thus, we can understand that the LCM of 676,546,971,392,180 is 2894706360.

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

• LCM of 363, 458, 441, 410, 417
• LCM of 522, 566, 158, 890, 185
• LCM of 434, 675, 526, 719, 806
• LCM of 199, 853, 885, 662, 264
• LCM of 250, 375, 209, 333, 318

1. What is the LCM of 676, 546, 971, 392, 180?

Answer: LCM of 676, 546, 971, 392, 180 is 2894706360.

2. How to calculate the LCM of 676, 546, 971, 392, 180?

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, 546, 971, 392, 180.

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}.