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LCM of 543, 463, 536, 926

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


Find the LCM of 543, 463, 536, 926 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 543, 463, 536, 926. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,463,536,926

Given numbers are 543,463,536,926

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

The LCM of 543,463,536,926 is 134755224.

Find LCM of 543,463,536,926 with Prime Factorization


2 543, 463, 536, 926
463 543, 463, 268, 463
543, 1, 268, 1

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

2 x 463 x 543 x 1 x 268 x 1 = 134755224

Therefore, the lowest common multiple of 543,463,536,926 is 134755224.

LCM Formula to Find Lowest Common Multiple of 543,463,536,926

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.

543 x 463 x 536 x 926 = 124783337424

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.

543 : 1, 3, 181, 543

463 : 1, 463

536 : 1, 2, 4, 8, 67, 134, 268, 536

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,463,536,926, is 1.

Now, the common factors can be found like this.

543:3x 181

463:463

536:2x 2x 2x 67

926:2x 463

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

2x 463 = 926

Therefore, the value for common factors is 926.

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 = 124783337424/(1x926)

LCM = 124783337424/926

LCM = 134755224

Thus, we can understand that the LCM of 543,463,536,926 is 134755224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 463, 536, 926

1. What is the LCM of 543, 463, 536, 926?

Answer: LCM of 543, 463, 536, 926 is 134755224.

2. How to calculate the LCM of 543, 463, 536, 926?

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 543, 463, 536, 926.

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}.