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LCM of 341, 758, 778, 778

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


Find the LCM of 341, 758, 778, 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 341, 758, 778, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,758,778,778

Given numbers are 341,758,778,778

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

The LCM of 341,758,778,778 is 100547942.

Find LCM of 341,758,778,778 with Prime Factorization


2 341, 758, 778, 778
389 341, 379, 389, 389
341, 379, 1, 1

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

2 x 389 x 341 x 379 x 1 x 1 = 100547942

Therefore, the lowest common multiple of 341,758,778,778 is 100547942.

LCM Formula to Find Lowest Common Multiple of 341,758,778,778

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.

341 x 758 x 778 x 778 = 156452597752

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.

341 : 1, 11, 31, 341

758 : 1, 2, 379, 758

778 : 1, 2, 389, 778

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,758,778,778, is 1.

Now, the common factors can be found like this.

341:11x 31

758:2x 379

778:2x 389

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 389 = 1556

Therefore, the value for common factors is 1556.

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 = 156452597752/(1x1556)

LCM = 156452597752/1556

LCM = 100547942

Thus, we can understand that the LCM of 341,758,778,778 is 100547942.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 758, 778, 778

1. What is the LCM of 341, 758, 778, 778?

Answer: LCM of 341, 758, 778, 778 is 100547942.

2. How to calculate the LCM of 341, 758, 778, 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 341, 758, 778, 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}.