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LCM of 695, 585, 541, 272, 203

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


Find the LCM of 695, 585, 541, 272, 203 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 695, 585, 541, 272, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,585,541,272,203

Given numbers are 695,585,541,272,203

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

The LCM of 695,585,541,272,203 is 2429029970640.

Find LCM of 695,585,541,272,203 with Prime Factorization


5 695, 585, 541, 272, 203
139, 117, 541, 272, 203

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

5 x 139 x 117 x 541 x 272 x 203 = 2429029970640

Therefore, the lowest common multiple of 695,585,541,272,203 is 2429029970640.

LCM Formula to Find Lowest Common Multiple of 695,585,541,272,203

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.

695 x 585 x 541 x 272 x 203 = 12145149853200

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.

695 : 1, 5, 139, 695

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

541 : 1, 541

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,585,541,272,203, is 1.

Now, the common factors can be found like this.

695:5x 139

585:3x 3x 5x 13

541:541

272:2x 2x 2x 2x 17

203:7x 29

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

5 = 5

Therefore, the value for common factors is 5.

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 = 12145149853200/(1x5)

LCM = 12145149853200/5

LCM = 2429029970640

Thus, we can understand that the LCM of 695,585,541,272,203 is 2429029970640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 585, 541, 272, 203

1. What is the LCM of 695, 585, 541, 272, 203?

Answer: LCM of 695, 585, 541, 272, 203 is 2429029970640.

2. How to calculate the LCM of 695, 585, 541, 272, 203?

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 695, 585, 541, 272, 203.

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}.