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LCM of 987, 417, 695, 477, 607

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


Find the LCM of 987, 417, 695, 477, 607 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 987, 417, 695, 477, 607. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,417,695,477,607

Given numbers are 987,417,695,477,607

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

The LCM of 987,417,695,477,607 is 66204540045.

Find LCM of 987,417,695,477,607 with Prime Factorization


3 987, 417, 695, 477, 607
139 329, 139, 695, 159, 607
329, 1, 5, 159, 607

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

3 x 139 x 329 x 1 x 5 x 159 x 607 = 66204540045

Therefore, the lowest common multiple of 987,417,695,477,607 is 66204540045.

LCM Formula to Find Lowest Common Multiple of 987,417,695,477,607

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.

987 x 417 x 695 x 477 x 607 = 82821879596295

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

417 : 1, 3, 139, 417

695 : 1, 5, 139, 695

477 : 1, 3, 9, 53, 159, 477

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,417,695,477,607, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

417:3x 139

695:5x 139

477:3x 3x 53

607:607

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 139 = 1251

Therefore, the value for common factors is 1251.

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 = 82821879596295/(1x1251)

LCM = 82821879596295/1251

LCM = 66204540045

Thus, we can understand that the LCM of 987,417,695,477,607 is 66204540045.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 417, 695, 477, 607

1. What is the LCM of 987, 417, 695, 477, 607?

Answer: LCM of 987, 417, 695, 477, 607 is 66204540045.

2. How to calculate the LCM of 987, 417, 695, 477, 607?

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 987, 417, 695, 477, 607.

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}.