Given numbers are 138,345,873,349

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

The LCM of 138,345,873,349 is 70075710.

Find LCM of 138,345,873,349 with Prime Factorization

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

3 x 23 x 2 x 5 x 291 x 349 = 70075710

Therefore, the lowest common multiple of 138,345,873,349 is 70075710.

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.

138 x 345 x 873 x 349 = 14505671970

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.

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

873 : 1, 3, 9, 97, 291, 873

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,345,873,349, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

345:3x 5x 23

873:3x 3x 97

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.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 14505671970/(1x207)

LCM = 14505671970/207

LCM = 70075710

Thus, we can understand that the LCM of 138,345,873,349 is 70075710.

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

• LCM of 435, 833, 135, 124
• LCM of 708, 547, 894, 321
• LCM of 262, 483, 415, 110
• LCM of 361, 961, 237, 837
• LCM of 662, 240, 928, 563

1. What is the LCM of 138, 345, 873, 349?

Answer: LCM of 138, 345, 873, 349 is 70075710.

2. How to calculate the LCM of 138, 345, 873, 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 138, 345, 873, 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}.