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LCM of 787, 801, 979, 712

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


Find the LCM of 787, 801, 979, 712 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, 801, 979, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,801,979,712

Given numbers are 787,801,979,712

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

The LCM of 787,801,979,712 is 55474056.

Find LCM of 787,801,979,712 with Prime Factorization


89 787, 801, 979, 712
787, 9, 11, 8

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

89 x 787 x 9 x 11 x 8 = 55474056

Therefore, the lowest common multiple of 787,801,979,712 is 55474056.

LCM Formula to Find Lowest Common Multiple of 787,801,979,712

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 801 x 979 x 712 = 439409997576

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

801 : 1, 3, 9, 89, 267, 801

979 : 1, 11, 89, 979

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,801,979,712, is 1.

Now, the common factors can be found like this.

787:787

801:3x 3x 89

979:11x 89

712:2x 2x 2x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

89x 89 = 7921

Therefore, the value for common factors is 7921.

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 = 439409997576/(1x7921)

LCM = 439409997576/7921

LCM = 55474056

Thus, we can understand that the LCM of 787,801,979,712 is 55474056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 801, 979, 712

1. What is the LCM of 787, 801, 979, 712?

Answer: LCM of 787, 801, 979, 712 is 55474056.

2. How to calculate the LCM of 787, 801, 979, 712?

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, 801, 979, 712.

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}.