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LCM of 143, 543, 229, 513

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


Find the LCM of 143, 543, 229, 513 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, 543, 229, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,543,229,513

Given numbers are 143,543,229,513

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

The LCM of 143,543,229,513 is 3040657191.

Find LCM of 143,543,229,513 with Prime Factorization


3 143, 543, 229, 513
143, 181, 229, 171

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

3 x 143 x 181 x 229 x 171 = 3040657191

Therefore, the lowest common multiple of 143,543,229,513 is 3040657191.

LCM Formula to Find Lowest Common Multiple of 143,543,229,513

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 543 x 229 x 513 = 9121971573

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

543 : 1, 3, 181, 543

229 : 1, 229

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,543,229,513, is 1.

Now, the common factors can be found like this.

143:11x 13

543:3x 181

229:229

513:3x 3x 3x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 9121971573/(1x3)

LCM = 9121971573/3

LCM = 3040657191

Thus, we can understand that the LCM of 143,543,229,513 is 3040657191.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 543, 229, 513

1. What is the LCM of 143, 543, 229, 513?

Answer: LCM of 143, 543, 229, 513 is 3040657191.

2. How to calculate the LCM of 143, 543, 229, 513?

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, 543, 229, 513.

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}.