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LCM of 791, 162, 429, 865

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


Find the LCM of 791, 162, 429, 865 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, 162, 429, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,162,429,865

Given numbers are 791,162,429,865

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

The LCM of 791,162,429,865 is 15850524690.

Find LCM of 791,162,429,865 with Prime Factorization


3 791, 162, 429, 865
791, 54, 143, 865

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

3 x 791 x 54 x 143 x 865 = 15850524690

Therefore, the lowest common multiple of 791,162,429,865 is 15850524690.

LCM Formula to Find Lowest Common Multiple of 791,162,429,865

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 162 x 429 x 865 = 47551574070

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

429 : 1, 3, 11, 13, 33, 39, 143, 429

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,162,429,865, is 1.

Now, the common factors can be found like this.

791:7x 113

162:2x 3x 3x 3x 3

429:3x 11x 13

865:5x 173

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

3 = 3

Therefore, the value for common factors is 3.

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 = 47551574070/(1x3)

LCM = 47551574070/3

LCM = 15850524690

Thus, we can understand that the LCM of 791,162,429,865 is 15850524690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 162, 429, 865

1. What is the LCM of 791, 162, 429, 865?

Answer: LCM of 791, 162, 429, 865 is 15850524690.

2. How to calculate the LCM of 791, 162, 429, 865?

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, 162, 429, 865.

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}.