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LCM of 926, 874, 849, 514, 646

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


Find the LCM of 926, 874, 849, 514, 646 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 926, 874, 849, 514, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,874,849,514,646

Given numbers are 926,874,849,514,646

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

The LCM of 926,874,849,514,646 is 1501005068022.

Find LCM of 926,874,849,514,646 with Prime Factorization


2 926, 874, 849, 514, 646
19 463, 437, 849, 257, 323
463, 23, 849, 257, 17

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

2 x 19 x 463 x 23 x 849 x 257 x 17 = 1501005068022

Therefore, the lowest common multiple of 926,874,849,514,646 is 1501005068022.

LCM Formula to Find Lowest Common Multiple of 926,874,849,514,646

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.

926 x 874 x 849 x 514 x 646 = 228152770339344

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.

926 : 1, 2, 463, 926

874 : 1, 2, 19, 23, 38, 46, 437, 874

849 : 1, 3, 283, 849

514 : 1, 2, 257, 514

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,874,849,514,646, is 1.

Now, the common factors can be found like this.

926:2x 463

874:2x 19x 23

849:3x 283

514:2x 257

646:2x 17x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 228152770339344/(1x152)

LCM = 228152770339344/152

LCM = 1501005068022

Thus, we can understand that the LCM of 926,874,849,514,646 is 1501005068022.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 874, 849, 514, 646

1. What is the LCM of 926, 874, 849, 514, 646?

Answer: LCM of 926, 874, 849, 514, 646 is 1501005068022.

2. How to calculate the LCM of 926, 874, 849, 514, 646?

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 926, 874, 849, 514, 646.

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}.