Given numbers are 763,109,698,338

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

The LCM of 763,109,698,338 is 90005006.

Find LCM of 763,109,698,338 with Prime Factorization

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

2 x 109 x 7 x 1 x 349 x 169 = 90005006

Therefore, the lowest common multiple of 763,109,698,338 is 90005006.

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.

763 x 109 x 698 x 338 = 19621091308

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.

763 : 1, 7, 109, 763

109 : 1, 109

698 : 1, 2, 349, 698

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,109,698,338, is 1.

Now, the common factors can be found like this.

763:7x 109

109:109

698:2x 349

338:2x 13x 13

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 19621091308/(1x218)

LCM = 19621091308/218

LCM = 90005006

Thus, we can understand that the LCM of 763,109,698,338 is 90005006.

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

• LCM of 207, 242, 960, 819
• LCM of 762, 974, 260, 702
• LCM of 120, 333, 118, 283
• LCM of 380, 420, 643, 507
• LCM of 618, 969, 513, 193

1. What is the LCM of 763, 109, 698, 338?

Answer: LCM of 763, 109, 698, 338 is 90005006.

2. How to calculate the LCM of 763, 109, 698, 338?

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 763, 109, 698, 338.

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}.