LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 253, 541, 543, 341, 578

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


Find the LCM of 253, 541, 543, 341, 578 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 253, 541, 543, 341, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,541,543,341,578

Given numbers are 253,541,543,341,578

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

The LCM of 253,541,543,341,578 is 1331702294802.

Find LCM of 253,541,543,341,578 with Prime Factorization


11 253, 541, 543, 341, 578
23, 541, 543, 31, 578

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

11 x 23 x 541 x 543 x 31 x 578 = 1331702294802

Therefore, the lowest common multiple of 253,541,543,341,578 is 1331702294802.

LCM Formula to Find Lowest Common Multiple of 253,541,543,341,578

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.

253 x 541 x 543 x 341 x 578 = 14648725242822

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.

253 : 1, 11, 23, 253

541 : 1, 541

543 : 1, 3, 181, 543

341 : 1, 11, 31, 341

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,541,543,341,578, is 1.

Now, the common factors can be found like this.

253:11x 23

541:541

543:3x 181

341:11x 31

578:2x 17x 17

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

11 = 11

Therefore, the value for common factors is 11.

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 = 14648725242822/(1x11)

LCM = 14648725242822/11

LCM = 1331702294802

Thus, we can understand that the LCM of 253,541,543,341,578 is 1331702294802.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 541, 543, 341, 578

1. What is the LCM of 253, 541, 543, 341, 578?

Answer: LCM of 253, 541, 543, 341, 578 is 1331702294802.

2. How to calculate the LCM of 253, 541, 543, 341, 578?

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 253, 541, 543, 341, 578.

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}.