Given numbers are 676,248,720,443,391

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

The LCM of 676,248,720,443,391 is 653373293040.

Find LCM of 676,248,720,443,391 with Prime Factorization

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

2 x 2 x 2 x 169 x 31 x 90 x 443 x 391 = 653373293040

Therefore, the lowest common multiple of 676,248,720,443,391 is 653373293040.

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 248 x 720 x 443 x 391 = 20907945377280

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

443 : 1, 443

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,248,720,443,391, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

248:2x 2x 2x 31

720:2x 2x 2x 2x 3x 3x 5

443:443

391:17x 23

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 2 = 32

Therefore, the value for common factors is 32.

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 = 20907945377280/(1x32)

LCM = 20907945377280/32

LCM = 653373293040

Thus, we can understand that the LCM of 676,248,720,443,391 is 653373293040.

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

• LCM of 928, 517, 309, 752, 530
• LCM of 287, 474, 293, 445, 389
• LCM of 490, 662, 928, 689, 255
• LCM of 419, 992, 292, 326, 715
• LCM of 941, 567, 570, 508, 432

1. What is the LCM of 676, 248, 720, 443, 391?

Answer: LCM of 676, 248, 720, 443, 391 is 653373293040.

2. How to calculate the LCM of 676, 248, 720, 443, 391?

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, 248, 720, 443, 391.

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}.