Given numbers are 910,698,414,461,379

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

The LCM of 910,698,414,461,379 is 11486224492470.

Find LCM of 910,698,414,461,379 with Prime Factorization

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

2 x 455 x 349 x 207 x 461 x 379 = 11486224492470

Therefore, the lowest common multiple of 910,698,414,461,379 is 11486224492470.

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.

910 x 698 x 414 x 461 x 379 = 45944897969880

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

698 : 1, 2, 349, 698

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

461 : 1, 461

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,698,414,461,379, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

698:2x 349

414:2x 3x 3x 23

461:461

379:379

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 = 45944897969880/(1x4)

LCM = 45944897969880/4

LCM = 11486224492470

Thus, we can understand that the LCM of 910,698,414,461,379 is 11486224492470.

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

• LCM of 457, 751, 532, 946, 460
• LCM of 974, 616, 861, 918, 211
• LCM of 264, 890, 734, 619, 237
• LCM of 250, 906, 950, 905, 634
• LCM of 957, 724, 700, 407, 830

1. What is the LCM of 910, 698, 414, 461, 379?

Answer: LCM of 910, 698, 414, 461, 379 is 11486224492470.

2. How to calculate the LCM of 910, 698, 414, 461, 379?

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 910, 698, 414, 461, 379.

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}.