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LCM of 462, 595, 198, 538

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


Find the LCM of 462, 595, 198, 538 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 462, 595, 198, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,595,198,538

Given numbers are 462,595,198,538

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

The LCM of 462,595,198,538 is 31690890.

Find LCM of 462,595,198,538 with Prime Factorization


2 462, 595, 198, 538
3 231, 595, 99, 269
7 77, 595, 33, 269
11 11, 85, 33, 269
1, 85, 3, 269

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

2 x 3 x 7 x 11 x 1 x 85 x 3 x 269 = 31690890

Therefore, the lowest common multiple of 462,595,198,538 is 31690890.

LCM Formula to Find Lowest Common Multiple of 462,595,198,538

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.

462 x 595 x 198 x 538 = 29282382360

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,595,198,538, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

595:5x 7x 17

198:2x 3x 3x 11

538:2x 269

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 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 29282382360/(1x924)

LCM = 29282382360/924

LCM = 31690890

Thus, we can understand that the LCM of 462,595,198,538 is 31690890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 595, 198, 538

1. What is the LCM of 462, 595, 198, 538?

Answer: LCM of 462, 595, 198, 538 is 31690890.

2. How to calculate the LCM of 462, 595, 198, 538?

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 462, 595, 198, 538.

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}.