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LCM of 967, 910, 342, 391, 349

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


Find the LCM of 967, 910, 342, 391, 349 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 967, 910, 342, 391, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,910,342,391,349

Given numbers are 967,910,342,391,349

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

The LCM of 967,910,342,391,349 is 20533650285330.

Find LCM of 967,910,342,391,349 with Prime Factorization


2 967, 910, 342, 391, 349
967, 455, 171, 391, 349

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

2 x 967 x 455 x 171 x 391 x 349 = 20533650285330

Therefore, the lowest common multiple of 967,910,342,391,349 is 20533650285330.

LCM Formula to Find Lowest Common Multiple of 967,910,342,391,349

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.

967 x 910 x 342 x 391 x 349 = 41067300570660

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.

967 : 1, 967

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

391 : 1, 17, 23, 391

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,910,342,391,349, is 1.

Now, the common factors can be found like this.

967:967

910:2x 5x 7x 13

342:2x 3x 3x 19

391:17x 23

349:349

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

2 = 2

Therefore, the value for common factors is 2.

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 = 41067300570660/(1x2)

LCM = 41067300570660/2

LCM = 20533650285330

Thus, we can understand that the LCM of 967,910,342,391,349 is 20533650285330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 910, 342, 391, 349

1. What is the LCM of 967, 910, 342, 391, 349?

Answer: LCM of 967, 910, 342, 391, 349 is 20533650285330.

2. How to calculate the LCM of 967, 910, 342, 391, 349?

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 967, 910, 342, 391, 349.

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}.