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LCM of 859, 933, 247, 871, 430

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


Find the LCM of 859, 933, 247, 871, 430 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, 933, 247, 871, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,933,247,871,430

Given numbers are 859,933,247,871,430

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

The LCM of 859,933,247,871,430 is 5703152953290.

Find LCM of 859,933,247,871,430 with Prime Factorization


13 859, 933, 247, 871, 430
859, 933, 19, 67, 430

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

13 x 859 x 933 x 19 x 67 x 430 = 5703152953290

Therefore, the lowest common multiple of 859,933,247,871,430 is 5703152953290.

LCM Formula to Find Lowest Common Multiple of 859,933,247,871,430

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 933 x 247 x 871 x 430 = 74140988392770

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

933 : 1, 3, 311, 933

247 : 1, 13, 19, 247

871 : 1, 13, 67, 871

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,933,247,871,430, is 1.

Now, the common factors can be found like this.

859:859

933:3x 311

247:13x 19

871:13x 67

430:2x 5x 43

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

13 = 13

Therefore, the value for common factors is 13.

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 = 74140988392770/(1x13)

LCM = 74140988392770/13

LCM = 5703152953290

Thus, we can understand that the LCM of 859,933,247,871,430 is 5703152953290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 933, 247, 871, 430

1. What is the LCM of 859, 933, 247, 871, 430?

Answer: LCM of 859, 933, 247, 871, 430 is 5703152953290.

2. How to calculate the LCM of 859, 933, 247, 871, 430?

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, 933, 247, 871, 430.

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}.