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LCM of 859, 859, 839, 549, 427

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


Find the LCM of 859, 859, 839, 549, 427 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 859, 859, 839, 549, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,859,839,549,427

Given numbers are 859,859,839,549,427

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

The LCM of 859,859,839,549,427 is 2769653943.

Find LCM of 859,859,839,549,427 with Prime Factorization


61 859, 859, 839, 549, 427
859 859, 859, 839, 9, 7
1, 1, 839, 9, 7

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

61 x 859 x 1 x 1 x 839 x 9 x 7 = 2769653943

Therefore, the lowest common multiple of 859,859,839,549,427 is 2769653943.

LCM Formula to Find Lowest Common Multiple of 859,859,839,549,427

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.

859 x 859 x 839 x 549 x 427 = 145127096959257

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.

859 : 1, 859

859 : 1, 859

839 : 1, 839

549 : 1, 3, 9, 61, 183, 549

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,859,839,549,427, is 1.

Now, the common factors can be found like this.

859:859

859:859

839:839

549:3x 3x 61

427:7x 61

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

61x 859 = 52399

Therefore, the value for common factors is 52399.

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 = 145127096959257/(1x52399)

LCM = 145127096959257/52399

LCM = 2769653943

Thus, we can understand that the LCM of 859,859,839,549,427 is 2769653943.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 859, 839, 549, 427

1. What is the LCM of 859, 859, 839, 549, 427?

Answer: LCM of 859, 859, 839, 549, 427 is 2769653943.

2. How to calculate the LCM of 859, 859, 839, 549, 427?

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 859, 859, 839, 549, 427.

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}.