Given numbers are 117,338,130,349

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

The LCM of 117,338,130,349 is 5308290.

Find LCM of 117,338,130,349 with Prime Factorization

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

2 x 13 x 9 x 13 x 5 x 349 = 5308290

Therefore, the lowest common multiple of 117,338,130,349 is 5308290.

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.

117 x 338 x 130 x 349 = 1794202020

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.

117 : 1, 3, 9, 13, 39, 117

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,338,130,349, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

338:2x 13x 13

130:2x 5x 13

349:349

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 1794202020/(1x338)

LCM = 1794202020/338

LCM = 5308290

Thus, we can understand that the LCM of 117,338,130,349 is 5308290.

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

• LCM of 164, 143, 688, 900
• LCM of 534, 154, 803, 251
• LCM of 225, 822, 912, 227
• LCM of 232, 670, 932, 448
• LCM of 877, 744, 508, 935

1. What is the LCM of 117, 338, 130, 349?

Answer: LCM of 117, 338, 130, 349 is 5308290.

2. How to calculate the LCM of 117, 338, 130, 349?

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 117, 338, 130, 349.

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}.