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LCM of 597, 398, 584, 122

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


Find the LCM of 597, 398, 584, 122 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 597, 398, 584, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,398,584,122

Given numbers are 597,398,584,122

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

The LCM of 597,398,584,122 is 21267528.

Find LCM of 597,398,584,122 with Prime Factorization


2 597, 398, 584, 122
199 597, 199, 292, 61
3, 1, 292, 61

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

2 x 199 x 3 x 1 x 292 x 61 = 21267528

Therefore, the lowest common multiple of 597,398,584,122 is 21267528.

LCM Formula to Find Lowest Common Multiple of 597,398,584,122

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.

597 x 398 x 584 x 122 = 16928952288

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.

597 : 1, 3, 199, 597

398 : 1, 2, 199, 398

584 : 1, 2, 4, 8, 73, 146, 292, 584

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,398,584,122, is 1.

Now, the common factors can be found like this.

597:3x 199

398:2x 199

584:2x 2x 2x 73

122:2x 61

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 199 = 796

Therefore, the value for common factors is 796.

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 = 16928952288/(1x796)

LCM = 16928952288/796

LCM = 21267528

Thus, we can understand that the LCM of 597,398,584,122 is 21267528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 398, 584, 122

1. What is the LCM of 597, 398, 584, 122?

Answer: LCM of 597, 398, 584, 122 is 21267528.

2. How to calculate the LCM of 597, 398, 584, 122?

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 597, 398, 584, 122.

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}.