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LCM of 607, 494, 207, 138

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


Find the LCM of 607, 494, 207, 138 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, 494, 207, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,494,207,138

Given numbers are 607,494,207,138

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

The LCM of 607,494,207,138 is 62070606.

Find LCM of 607,494,207,138 with Prime Factorization


2 607, 494, 207, 138
3 607, 247, 207, 69
23 607, 247, 23, 69
607, 247, 1, 3

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

2 x 3 x 23 x 607 x 247 x 1 x 3 = 62070606

Therefore, the lowest common multiple of 607,494,207,138 is 62070606.

LCM Formula to Find Lowest Common Multiple of 607,494,207,138

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 494 x 207 x 138 = 8565743628

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

207 : 1, 3, 9, 23, 69, 207

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,494,207,138, is 1.

Now, the common factors can be found like this.

607:607

494:2x 13x 19

207:3x 3x 23

138:2x 3x 23

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 8565743628/(1x138)

LCM = 8565743628/138

LCM = 62070606

Thus, we can understand that the LCM of 607,494,207,138 is 62070606.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 494, 207, 138

1. What is the LCM of 607, 494, 207, 138?

Answer: LCM of 607, 494, 207, 138 is 62070606.

2. How to calculate the LCM of 607, 494, 207, 138?

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, 494, 207, 138.

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}.