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LCM of 607, 414, 663, 897

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


Find the LCM of 607, 414, 663, 897 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 607, 414, 663, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,414,663,897

Given numbers are 607,414,663,897

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

The LCM of 607,414,663,897 is 55536858.

Find LCM of 607,414,663,897 with Prime Factorization


3 607, 414, 663, 897
13 607, 138, 221, 299
23 607, 138, 17, 23
607, 6, 17, 1

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

3 x 13 x 23 x 607 x 6 x 17 x 1 = 55536858

Therefore, the lowest common multiple of 607,414,663,897 is 55536858.

LCM Formula to Find Lowest Common Multiple of 607,414,663,897

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.

607 x 414 x 663 x 897 = 149449684878

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.

607 : 1, 607

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

663 : 1, 3, 13, 17, 39, 51, 221, 663

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,414,663,897, is 1.

Now, the common factors can be found like this.

607:607

414:2x 3x 3x 23

663:3x 13x 17

897:3x 13x 23

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 13x 23 = 2691

Therefore, the value for common factors is 2691.

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 = 149449684878/(1x2691)

LCM = 149449684878/2691

LCM = 55536858

Thus, we can understand that the LCM of 607,414,663,897 is 55536858.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 414, 663, 897

1. What is the LCM of 607, 414, 663, 897?

Answer: LCM of 607, 414, 663, 897 is 55536858.

2. How to calculate the LCM of 607, 414, 663, 897?

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 607, 414, 663, 897.

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}.