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LCM of 779, 545, 743, 171

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


Find the LCM of 779, 545, 743, 171 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 779, 545, 743, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,545,743,171

Given numbers are 779,545,743,171

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

The LCM of 779,545,743,171 is 2838999285.

Find LCM of 779,545,743,171 with Prime Factorization


19 779, 545, 743, 171
41, 545, 743, 9

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

19 x 41 x 545 x 743 x 9 = 2838999285

Therefore, the lowest common multiple of 779,545,743,171 is 2838999285.

LCM Formula to Find Lowest Common Multiple of 779,545,743,171

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.

779 x 545 x 743 x 171 = 53940986415

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.

779 : 1, 19, 41, 779

545 : 1, 5, 109, 545

743 : 1, 743

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,545,743,171, is 1.

Now, the common factors can be found like this.

779:19x 41

545:5x 109

743:743

171:3x 3x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 53940986415/(1x19)

LCM = 53940986415/19

LCM = 2838999285

Thus, we can understand that the LCM of 779,545,743,171 is 2838999285.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 545, 743, 171

1. What is the LCM of 779, 545, 743, 171?

Answer: LCM of 779, 545, 743, 171 is 2838999285.

2. How to calculate the LCM of 779, 545, 743, 171?

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 779, 545, 743, 171.

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}.