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LCM of 616, 821, 206, 353, 347

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


Find the LCM of 616, 821, 206, 353, 347 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 616, 821, 206, 353, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,821,206,353,347

Given numbers are 616,821,206,353,347

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

The LCM of 616,821,206,353,347 is 6380655162728.

Find LCM of 616,821,206,353,347 with Prime Factorization


2 616, 821, 206, 353, 347
308, 821, 103, 353, 347

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

2 x 308 x 821 x 103 x 353 x 347 = 6380655162728

Therefore, the lowest common multiple of 616,821,206,353,347 is 6380655162728.

LCM Formula to Find Lowest Common Multiple of 616,821,206,353,347

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.

616 x 821 x 206 x 353 x 347 = 12761310325456

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

821 : 1, 821

206 : 1, 2, 103, 206

353 : 1, 353

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,821,206,353,347, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

821:821

206:2x 103

353:353

347:347

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 = 12761310325456/(1x2)

LCM = 12761310325456/2

LCM = 6380655162728

Thus, we can understand that the LCM of 616,821,206,353,347 is 6380655162728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 821, 206, 353, 347

1. What is the LCM of 616, 821, 206, 353, 347?

Answer: LCM of 616, 821, 206, 353, 347 is 6380655162728.

2. How to calculate the LCM of 616, 821, 206, 353, 347?

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 616, 821, 206, 353, 347.

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}.