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LCM of 961, 341, 496, 299, 297

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


Find the LCM of 961, 341, 496, 299, 297 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 961, 341, 496, 299, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,341,496,299,297

Given numbers are 961,341,496,299,297

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

The LCM of 961,341,496,299,297 is 1365434928.

Find LCM of 961,341,496,299,297 with Prime Factorization


11 961, 341, 496, 299, 297
31 961, 31, 496, 299, 27
1, 31, 16, 299, 27

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

11 x 31 x 1 x 31 x 16 x 299 x 27 = 1365434928

Therefore, the lowest common multiple of 961,341,496,299,297 is 1365434928.

LCM Formula to Find Lowest Common Multiple of 961,341,496,299,297

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.

961 x 341 x 496 x 299 x 297 = 14434012623888

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.

961 : 1, 31, 961

341 : 1, 11, 31, 341

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

299 : 1, 13, 23, 299

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,341,496,299,297, is 1.

Now, the common factors can be found like this.

961:31x 31

341:11x 31

496:2x 2x 2x 2x 31

299:13x 23

297:3x 3x 3x 11

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

11x 31x 31 = 10571

Therefore, the value for common factors is 10571.

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 = 14434012623888/(1x10571)

LCM = 14434012623888/10571

LCM = 1365434928

Thus, we can understand that the LCM of 961,341,496,299,297 is 1365434928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 341, 496, 299, 297

1. What is the LCM of 961, 341, 496, 299, 297?

Answer: LCM of 961, 341, 496, 299, 297 is 1365434928.

2. How to calculate the LCM of 961, 341, 496, 299, 297?

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 961, 341, 496, 299, 297.

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}.