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LCM of 345, 511, 161, 844

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


Find the LCM of 345, 511, 161, 844 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 345, 511, 161, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,511,161,844

Given numbers are 345,511,161,844

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

The LCM of 345,511,161,844 is 148792980.

Find LCM of 345,511,161,844 with Prime Factorization


7 345, 511, 161, 844
23 345, 73, 23, 844
15, 73, 1, 844

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

7 x 23 x 15 x 73 x 1 x 844 = 148792980

Therefore, the lowest common multiple of 345,511,161,844 is 148792980.

LCM Formula to Find Lowest Common Multiple of 345,511,161,844

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.

345 x 511 x 161 x 844 = 23955669780

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.

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

511 : 1, 7, 73, 511

161 : 1, 7, 23, 161

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,511,161,844, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

511:7x 73

161:7x 23

844:2x 2x 211

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

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 23955669780/(1x161)

LCM = 23955669780/161

LCM = 148792980

Thus, we can understand that the LCM of 345,511,161,844 is 148792980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 511, 161, 844

1. What is the LCM of 345, 511, 161, 844?

Answer: LCM of 345, 511, 161, 844 is 148792980.

2. How to calculate the LCM of 345, 511, 161, 844?

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 345, 511, 161, 844.

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}.