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LCM of 646, 247, 398, 778

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


Find the LCM of 646, 247, 398, 778 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 646, 247, 398, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,247,398,778

Given numbers are 646,247,398,778

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

The LCM of 646,247,398,778 is 650097578.

Find LCM of 646,247,398,778 with Prime Factorization


2 646, 247, 398, 778
19 323, 247, 199, 389
17, 13, 199, 389

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

2 x 19 x 17 x 13 x 199 x 389 = 650097578

Therefore, the lowest common multiple of 646,247,398,778 is 650097578.

LCM Formula to Find Lowest Common Multiple of 646,247,398,778

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.

646 x 247 x 398 x 778 = 49407415928

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

247 : 1, 13, 19, 247

398 : 1, 2, 199, 398

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,247,398,778, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

247:13x 19

398:2x 199

778:2x 389

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 19 = 76

Therefore, the value for common factors is 76.

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 = 49407415928/(1x76)

LCM = 49407415928/76

LCM = 650097578

Thus, we can understand that the LCM of 646,247,398,778 is 650097578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 247, 398, 778

1. What is the LCM of 646, 247, 398, 778?

Answer: LCM of 646, 247, 398, 778 is 650097578.

2. How to calculate the LCM of 646, 247, 398, 778?

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 646, 247, 398, 778.

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}.