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LCM of 138, 263, 333, 345

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 138, 263, 333, 345 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 138, 263, 333, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,263,333,345

Given numbers are 138,263,333,345

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

The LCM of 138,263,333,345 is 20143170.

Find LCM of 138,263,333,345 with Prime Factorization


3 138, 263, 333, 345
23 46, 263, 111, 115
2, 263, 111, 5

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

3 x 23 x 2 x 263 x 111 x 5 = 20143170

Therefore, the lowest common multiple of 138,263,333,345 is 20143170.

LCM Formula to Find Lowest Common Multiple of 138,263,333,345

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 263 x 333 x 345 = 4169636190

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

263 : 1, 263

333 : 1, 3, 9, 37, 111, 333

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,263,333,345, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

263:263

333:3x 3x 37

345:3x 5x 23

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 = 4169636190/(1x207)

LCM = 4169636190/207

LCM = 20143170

Thus, we can understand that the LCM of 138,263,333,345 is 20143170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 263, 333, 345

1. What is the LCM of 138, 263, 333, 345?

Answer: LCM of 138, 263, 333, 345 is 20143170.

2. How to calculate the LCM of 138, 263, 333, 345?

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, 263, 333, 345.

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}.