Given numbers are 705,676,428,521

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

The LCM of 705,676,428,521 is 26567905260.

Find LCM of 705,676,428,521 with Prime Factorization

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

2 x 2 x 705 x 169 x 107 x 521 = 26567905260

Therefore, the lowest common multiple of 705,676,428,521 is 26567905260.

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.

705 x 676 x 428 x 521 = 106271621040

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

428 : 1, 2, 4, 107, 214, 428

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,676,428,521, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

676:2x 2x 13x 13

428:2x 2x 107

521:521

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 = 106271621040/(1x4)

LCM = 106271621040/4

LCM = 26567905260

Thus, we can understand that the LCM of 705,676,428,521 is 26567905260.

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

• LCM of 751, 420, 672, 605
• LCM of 492, 974, 365, 756
• LCM of 171, 907, 844, 389
• LCM of 842, 317, 267, 648
• LCM of 962, 208, 992, 143

1. What is the LCM of 705, 676, 428, 521?

Answer: LCM of 705, 676, 428, 521 is 26567905260.

2. How to calculate the LCM of 705, 676, 428, 521?

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 705, 676, 428, 521.

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}.