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LCM of 398, 506, 529, 137

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


Find the LCM of 398, 506, 529, 137 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 398, 506, 529, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,506,529,137

Given numbers are 398,506,529,137

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

The LCM of 398,506,529,137 is 317286794.

Find LCM of 398,506,529,137 with Prime Factorization


2 398, 506, 529, 137
23 199, 253, 529, 137
199, 11, 23, 137

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

2 x 23 x 199 x 11 x 23 x 137 = 317286794

Therefore, the lowest common multiple of 398,506,529,137 is 317286794.

LCM Formula to Find Lowest Common Multiple of 398,506,529,137

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.

398 x 506 x 529 x 137 = 14595192524

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.

398 : 1, 2, 199, 398

506 : 1, 2, 11, 22, 23, 46, 253, 506

529 : 1, 23, 529

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,506,529,137, is 1.

Now, the common factors can be found like this.

398:2x 199

506:2x 11x 23

529:23x 23

137:137

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 14595192524/(1x46)

LCM = 14595192524/46

LCM = 317286794

Thus, we can understand that the LCM of 398,506,529,137 is 317286794.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 506, 529, 137

1. What is the LCM of 398, 506, 529, 137?

Answer: LCM of 398, 506, 529, 137 is 317286794.

2. How to calculate the LCM of 398, 506, 529, 137?

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 398, 506, 529, 137.

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}.