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LCM of 110, 987, 144, 286

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


Find the LCM of 110, 987, 144, 286 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 110, 987, 144, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,987,144,286

Given numbers are 110,987,144,286

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

The LCM of 110,987,144,286 is 33873840.

Find LCM of 110,987,144,286 with Prime Factorization


2 110, 987, 144, 286
3 55, 987, 72, 143
11 55, 329, 24, 143
5, 329, 24, 13

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

2 x 3 x 11 x 5 x 329 x 24 x 13 = 33873840

Therefore, the lowest common multiple of 110,987,144,286 is 33873840.

LCM Formula to Find Lowest Common Multiple of 110,987,144,286

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.

110 x 987 x 144 x 286 = 4471346880

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

987 : 1, 3, 7, 21, 47, 141, 329, 987

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,987,144,286, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

987:3x 7x 47

144:2x 2x 2x 2x 3x 3

286:2x 11x 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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 4471346880/(1x132)

LCM = 4471346880/132

LCM = 33873840

Thus, we can understand that the LCM of 110,987,144,286 is 33873840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 987, 144, 286

1. What is the LCM of 110, 987, 144, 286?

Answer: LCM of 110, 987, 144, 286 is 33873840.

2. How to calculate the LCM of 110, 987, 144, 286?

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 110, 987, 144, 286.

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}.