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LCM of 506, 430, 691, 802, 910

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


Find the LCM of 506, 430, 691, 802, 910 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 506, 430, 691, 802, 910. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,430,691,802,910

Given numbers are 506,430,691,802,910

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

The LCM of 506,430,691,802,910 is 2743170419990.

Find LCM of 506,430,691,802,910 with Prime Factorization


2 506, 430, 691, 802, 910
5 253, 215, 691, 401, 455
253, 43, 691, 401, 91

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

2 x 5 x 253 x 43 x 691 x 401 x 91 = 2743170419990

Therefore, the lowest common multiple of 506,430,691,802,910 is 2743170419990.

LCM Formula to Find Lowest Common Multiple of 506,430,691,802,910

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.

506 x 430 x 691 x 802 x 910 = 109726816799600

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

691 : 1, 691

802 : 1, 2, 401, 802

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,430,691,802,910, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

430:2x 5x 43

691:691

802:2x 401

910:2x 5x 7x 13

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 109726816799600/(1x40)

LCM = 109726816799600/40

LCM = 2743170419990

Thus, we can understand that the LCM of 506,430,691,802,910 is 2743170419990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 430, 691, 802, 910

1. What is the LCM of 506, 430, 691, 802, 910?

Answer: LCM of 506, 430, 691, 802, 910 is 2743170419990.

2. How to calculate the LCM of 506, 430, 691, 802, 910?

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 506, 430, 691, 802, 910.

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}.