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LCM of 612, 841, 699, 476, 259

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


Find the LCM of 612, 841, 699, 476, 259 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 612, 841, 699, 476, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,841,699,476,259

Given numbers are 612,841,699,476,259

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

The LCM of 612,841,699,476,259 is 31060118124.

Find LCM of 612,841,699,476,259 with Prime Factorization


2 612, 841, 699, 476, 259
2 306, 841, 699, 238, 259
3 153, 841, 699, 119, 259
7 51, 841, 233, 119, 259
17 51, 841, 233, 17, 37
3, 841, 233, 1, 37

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

2 x 2 x 3 x 7 x 17 x 3 x 841 x 233 x 1 x 37 = 31060118124

Therefore, the lowest common multiple of 612,841,699,476,259 is 31060118124.

LCM Formula to Find Lowest Common Multiple of 612,841,699,476,259

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.

612 x 841 x 699 x 476 x 259 = 44353848681072

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

841 : 1, 29, 841

699 : 1, 3, 233, 699

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,841,699,476,259, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

841:29x 29

699:3x 233

476:2x 2x 7x 17

259:7x 37

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

2x 2x 3x 7x 17 = 1428

Therefore, the value for common factors is 1428.

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 = 44353848681072/(1x1428)

LCM = 44353848681072/1428

LCM = 31060118124

Thus, we can understand that the LCM of 612,841,699,476,259 is 31060118124.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 841, 699, 476, 259

1. What is the LCM of 612, 841, 699, 476, 259?

Answer: LCM of 612, 841, 699, 476, 259 is 31060118124.

2. How to calculate the LCM of 612, 841, 699, 476, 259?

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 612, 841, 699, 476, 259.

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}.