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LCM of 867, 507, 754, 278, 987

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


Find the LCM of 867, 507, 754, 278, 987 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 867, 507, 754, 278, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,507,754,278,987

Given numbers are 867,507,754,278,987

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

The LCM of 867,507,754,278,987 is 388637312154.

Find LCM of 867,507,754,278,987 with Prime Factorization


2 867, 507, 754, 278, 987
3 867, 507, 377, 139, 987
13 289, 169, 377, 139, 329
289, 13, 29, 139, 329

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

2 x 3 x 13 x 289 x 13 x 29 x 139 x 329 = 388637312154

Therefore, the lowest common multiple of 867,507,754,278,987 is 388637312154.

LCM Formula to Find Lowest Common Multiple of 867,507,754,278,987

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.

867 x 507 x 754 x 278 x 987 = 90941131044036

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.

867 : 1, 3, 17, 51, 289, 867

507 : 1, 3, 13, 39, 169, 507

754 : 1, 2, 13, 26, 29, 58, 377, 754

278 : 1, 2, 139, 278

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,507,754,278,987, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

507:3x 13x 13

754:2x 13x 29

278:2x 139

987:3x 7x 47

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 90941131044036/(1x234)

LCM = 90941131044036/234

LCM = 388637312154

Thus, we can understand that the LCM of 867,507,754,278,987 is 388637312154.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 507, 754, 278, 987

1. What is the LCM of 867, 507, 754, 278, 987?

Answer: LCM of 867, 507, 754, 278, 987 is 388637312154.

2. How to calculate the LCM of 867, 507, 754, 278, 987?

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 867, 507, 754, 278, 987.

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}.