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LCM of 787, 928, 979, 473, 128

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


Find the LCM of 787, 928, 979, 473, 128 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 787, 928, 979, 473, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,928,979,473,128

Given numbers are 787,928,979,473,128

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

The LCM of 787,928,979,473,128 is 122979818368.

Find LCM of 787,928,979,473,128 with Prime Factorization


2 787, 928, 979, 473, 128
2 787, 464, 979, 473, 64
2 787, 232, 979, 473, 32
2 787, 116, 979, 473, 16
2 787, 58, 979, 473, 8
11 787, 29, 979, 473, 4
787, 29, 89, 43, 4

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

2 x 2 x 2 x 2 x 2 x 11 x 787 x 29 x 89 x 43 x 4 = 122979818368

Therefore, the lowest common multiple of 787,928,979,473,128 is 122979818368.

LCM Formula to Find Lowest Common Multiple of 787,928,979,473,128

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.

787 x 928 x 979 x 473 x 128 = 43288896065536

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.

787 : 1, 787

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

979 : 1, 11, 89, 979

473 : 1, 11, 43, 473

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,928,979,473,128, is 1.

Now, the common factors can be found like this.

787:787

928:2x 2x 2x 2x 2x 29

979:11x 89

473:11x 43

128:2x 2x 2x 2x 2x 2x 2

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 2x 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 43288896065536/(1x352)

LCM = 43288896065536/352

LCM = 122979818368

Thus, we can understand that the LCM of 787,928,979,473,128 is 122979818368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 928, 979, 473, 128

1. What is the LCM of 787, 928, 979, 473, 128?

Answer: LCM of 787, 928, 979, 473, 128 is 122979818368.

2. How to calculate the LCM of 787, 928, 979, 473, 128?

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 787, 928, 979, 473, 128.

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}.