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LCM of 344, 198, 154, 570

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


Find the LCM of 344, 198, 154, 570 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 344, 198, 154, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,198,154,570

Given numbers are 344,198,154,570

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

The LCM of 344,198,154,570 is 22647240.

Find LCM of 344,198,154,570 with Prime Factorization


2 344, 198, 154, 570
3 172, 99, 77, 285
11 172, 33, 77, 95
172, 3, 7, 95

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

2 x 3 x 11 x 172 x 3 x 7 x 95 = 22647240

Therefore, the lowest common multiple of 344,198,154,570 is 22647240.

LCM Formula to Find Lowest Common Multiple of 344,198,154,570

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.

344 x 198 x 154 x 570 = 5978871360

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

154 : 1, 2, 7, 11, 14, 22, 77, 154

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,198,154,570, is 2.

Now, the common factors can be found like this.

344:2x 2x 2x 43

198:2x 3x 3x 11

154:2x 7x 11

570:2x 3x 5x 19

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 5978871360/(2x132)

LCM = 5978871360/264

LCM = 22647240

Thus, we can understand that the LCM of 344,198,154,570 is 22647240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 198, 154, 570

1. What is the LCM of 344, 198, 154, 570?

Answer: LCM of 344, 198, 154, 570 is 22647240.

2. How to calculate the LCM of 344, 198, 154, 570?

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 344, 198, 154, 570.

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}.