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LCM of 398, 794, 658, 444, 277

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


Find the LCM of 398, 794, 658, 444, 277 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, 794, 658, 444, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,794,658,444,277

Given numbers are 398,794,658,444,277

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

The LCM of 398,794,658,444,277 is 3196702497156.

Find LCM of 398,794,658,444,277 with Prime Factorization


2 398, 794, 658, 444, 277
199, 397, 329, 222, 277

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

2 x 199 x 397 x 329 x 222 x 277 = 3196702497156

Therefore, the lowest common multiple of 398,794,658,444,277 is 3196702497156.

LCM Formula to Find Lowest Common Multiple of 398,794,658,444,277

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 794 x 658 x 444 x 277 = 25573619977248

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

794 : 1, 2, 397, 794

658 : 1, 2, 7, 14, 47, 94, 329, 658

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,794,658,444,277, is 1.

Now, the common factors can be found like this.

398:2x 199

794:2x 397

658:2x 7x 47

444:2x 2x 3x 37

277:277

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25573619977248/(1x8)

LCM = 25573619977248/8

LCM = 3196702497156

Thus, we can understand that the LCM of 398,794,658,444,277 is 3196702497156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 794, 658, 444, 277

1. What is the LCM of 398, 794, 658, 444, 277?

Answer: LCM of 398, 794, 658, 444, 277 is 3196702497156.

2. How to calculate the LCM of 398, 794, 658, 444, 277?

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, 794, 658, 444, 277.

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}.