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LCM of 182, 510, 936, 891

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


Find the LCM of 182, 510, 936, 891 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 182, 510, 936, 891. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,510,936,891

Given numbers are 182,510,936,891

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

The LCM of 182,510,936,891 is 55135080.

Find LCM of 182,510,936,891 with Prime Factorization


2 182, 510, 936, 891
3 91, 255, 468, 891
3 91, 85, 156, 297
13 91, 85, 52, 99
7, 85, 4, 99

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

2 x 3 x 3 x 13 x 7 x 85 x 4 x 99 = 55135080

Therefore, the lowest common multiple of 182,510,936,891 is 55135080.

LCM Formula to Find Lowest Common Multiple of 182,510,936,891

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.

182 x 510 x 936 x 891 = 77409652320

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,510,936,891, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

510:2x 3x 5x 17

936:2x 2x 2x 3x 3x 13

891:3x 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.

2x 2x 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 77409652320/(1x1404)

LCM = 77409652320/1404

LCM = 55135080

Thus, we can understand that the LCM of 182,510,936,891 is 55135080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 510, 936, 891

1. What is the LCM of 182, 510, 936, 891?

Answer: LCM of 182, 510, 936, 891 is 55135080.

2. How to calculate the LCM of 182, 510, 936, 891?

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 182, 510, 936, 891.

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}.