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LCM of 779, 897, 924, 161

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


Find the LCM of 779, 897, 924, 161 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, 897, 924, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,897,924,161

Given numbers are 779,897,924,161

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

The LCM of 779,897,924,161 is 215219004.

Find LCM of 779,897,924,161 with Prime Factorization


3 779, 897, 924, 161
7 779, 299, 308, 161
23 779, 299, 44, 23
779, 13, 44, 1

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

3 x 7 x 23 x 779 x 13 x 44 x 1 = 215219004

Therefore, the lowest common multiple of 779,897,924,161 is 215219004.

LCM Formula to Find Lowest Common Multiple of 779,897,924,161

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 897 x 924 x 161 = 103950778932

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

897 : 1, 3, 13, 23, 39, 69, 299, 897

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,897,924,161, is 1.

Now, the common factors can be found like this.

779:19x 41

897:3x 13x 23

924:2x 2x 3x 7x 11

161:7x 23

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

3x 7x 23 = 483

Therefore, the value for common factors is 483.

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 = 103950778932/(1x483)

LCM = 103950778932/483

LCM = 215219004

Thus, we can understand that the LCM of 779,897,924,161 is 215219004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 897, 924, 161

1. What is the LCM of 779, 897, 924, 161?

Answer: LCM of 779, 897, 924, 161 is 215219004.

2. How to calculate the LCM of 779, 897, 924, 161?

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, 897, 924, 161.

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}.