Given numbers are 349,514,864,138

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

The LCM of 349,514,864,138 is 1782379296.

Find LCM of 349,514,864,138 with Prime Factorization

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

2 x 3 x 349 x 257 x 144 x 23 = 1782379296

Therefore, the lowest common multiple of 349,514,864,138 is 1782379296.

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.

349 x 514 x 864 x 138 = 21388551552

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.

349 : 1, 349

514 : 1, 2, 257, 514

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,514,864,138, is 1.

Now, the common factors can be found like this.

349:349

514:2x 257

864:2x 2x 2x 2x 2x 3x 3x 3

138:2x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 21388551552/(1x12)

LCM = 21388551552/12

LCM = 1782379296

Thus, we can understand that the LCM of 349,514,864,138 is 1782379296.

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

• LCM of 225, 547, 452, 803
• LCM of 972, 355, 243, 285
• LCM of 740, 661, 416, 683
• LCM of 782, 358, 821, 472
• LCM of 466, 209, 499, 779

1. What is the LCM of 349, 514, 864, 138?

Answer: LCM of 349, 514, 864, 138 is 1782379296.

2. How to calculate the LCM of 349, 514, 864, 138?

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 349, 514, 864, 138.

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}.