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LCM of 791, 628, 677, 564, 919

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


Find the LCM of 791, 628, 677, 564, 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 791, 628, 677, 564, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,628,677,564,919

Given numbers are 791,628,677,564,919

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

The LCM of 791,628,677,564,919 is 43577209855284.

Find LCM of 791,628,677,564,919 with Prime Factorization


2 791, 628, 677, 564, 919
2 791, 314, 677, 282, 919
791, 157, 677, 141, 919

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

2 x 2 x 791 x 157 x 677 x 141 x 919 = 43577209855284

Therefore, the lowest common multiple of 791,628,677,564,919 is 43577209855284.

LCM Formula to Find Lowest Common Multiple of 791,628,677,564,919

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.

791 x 628 x 677 x 564 x 919 = 174308839421136

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.

791 : 1, 7, 113, 791

628 : 1, 2, 4, 157, 314, 628

677 : 1, 677

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,628,677,564,919, is 1.

Now, the common factors can be found like this.

791:7x 113

628:2x 2x 157

677:677

564:2x 2x 3x 47

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 174308839421136/(1x4)

LCM = 174308839421136/4

LCM = 43577209855284

Thus, we can understand that the LCM of 791,628,677,564,919 is 43577209855284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 628, 677, 564, 919

1. What is the LCM of 791, 628, 677, 564, 919?

Answer: LCM of 791, 628, 677, 564, 919 is 43577209855284.

2. How to calculate the LCM of 791, 628, 677, 564, 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 791, 628, 677, 564, 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}.