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LCM of 398, 712, 529, 919

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


Find the LCM of 398, 712, 529, 919 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, 712, 529, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,712,529,919

Given numbers are 398,712,529,919

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

The LCM of 398,712,529,919 is 68881762888.

Find LCM of 398,712,529,919 with Prime Factorization


2 398, 712, 529, 919
199, 356, 529, 919

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

2 x 199 x 356 x 529 x 919 = 68881762888

Therefore, the lowest common multiple of 398,712,529,919 is 68881762888.

LCM Formula to Find Lowest Common Multiple of 398,712,529,919

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 712 x 529 x 919 = 137763525776

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

529 : 1, 23, 529

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,712,529,919, is 1.

Now, the common factors can be found like this.

398:2x 199

712:2x 2x 2x 89

529:23x 23

919:919

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137763525776/(1x2)

LCM = 137763525776/2

LCM = 68881762888

Thus, we can understand that the LCM of 398,712,529,919 is 68881762888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 712, 529, 919

1. What is the LCM of 398, 712, 529, 919?

Answer: LCM of 398, 712, 529, 919 is 68881762888.

2. How to calculate the LCM of 398, 712, 529, 919?

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, 712, 529, 919.

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}.