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LCM of 107, 704, 803, 771

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


Find the LCM of 107, 704, 803, 771 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 107, 704, 803, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,704,803,771

Given numbers are 107,704,803,771

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

The LCM of 107,704,803,771 is 4239685824.

Find LCM of 107,704,803,771 with Prime Factorization


11 107, 704, 803, 771
107, 64, 73, 771

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

11 x 107 x 64 x 73 x 771 = 4239685824

Therefore, the lowest common multiple of 107,704,803,771 is 4239685824.

LCM Formula to Find Lowest Common Multiple of 107,704,803,771

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.

107 x 704 x 803 x 771 = 46636544064

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.

107 : 1, 107

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

803 : 1, 11, 73, 803

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,704,803,771, is 1.

Now, the common factors can be found like this.

107:107

704:2x 2x 2x 2x 2x 2x 11

803:11x 73

771:3x 257

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

11 = 11

Therefore, the value for common factors is 11.

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 = 46636544064/(1x11)

LCM = 46636544064/11

LCM = 4239685824

Thus, we can understand that the LCM of 107,704,803,771 is 4239685824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 704, 803, 771

1. What is the LCM of 107, 704, 803, 771?

Answer: LCM of 107, 704, 803, 771 is 4239685824.

2. How to calculate the LCM of 107, 704, 803, 771?

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 107, 704, 803, 771.

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}.