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LCM of 143, 874, 627, 828

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


Find the LCM of 143, 874, 627, 828 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 143, 874, 627, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,874,627,828

Given numbers are 143,874,627,828

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

The LCM of 143,874,627,828 is 2249676.

Find LCM of 143,874,627,828 with Prime Factorization


2 143, 874, 627, 828
3 143, 437, 627, 414
11 143, 437, 209, 138
19 13, 437, 19, 138
23 13, 23, 1, 138
13, 1, 1, 6

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

2 x 3 x 11 x 19 x 23 x 13 x 1 x 1 x 6 = 2249676

Therefore, the lowest common multiple of 143,874,627,828 is 2249676.

LCM Formula to Find Lowest Common Multiple of 143,874,627,828

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.

143 x 874 x 627 x 828 = 64885155192

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.

143 : 1, 11, 13, 143

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,874,627,828, is 1.

Now, the common factors can be found like this.

143:11x 13

874:2x 19x 23

627:3x 11x 19

828:2x 2x 3x 3x 23

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 11x 19x 23 = 28842

Therefore, the value for common factors is 28842.

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 = 64885155192/(1x28842)

LCM = 64885155192/28842

LCM = 2249676

Thus, we can understand that the LCM of 143,874,627,828 is 2249676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 874, 627, 828

1. What is the LCM of 143, 874, 627, 828?

Answer: LCM of 143, 874, 627, 828 is 2249676.

2. How to calculate the LCM of 143, 874, 627, 828?

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 143, 874, 627, 828.

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}.