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LCM of 724, 515, 206, 554

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


Find the LCM of 724, 515, 206, 554 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 724, 515, 206, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,515,206,554

Given numbers are 724,515,206,554

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

The LCM of 724,515,206,554 is 103282220.

Find LCM of 724,515,206,554 with Prime Factorization


2 724, 515, 206, 554
103 362, 515, 103, 277
362, 5, 1, 277

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

2 x 103 x 362 x 5 x 1 x 277 = 103282220

Therefore, the lowest common multiple of 724,515,206,554 is 103282220.

LCM Formula to Find Lowest Common Multiple of 724,515,206,554

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.

724 x 515 x 206 x 554 = 42552274640

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.

724 : 1, 2, 4, 181, 362, 724

515 : 1, 5, 103, 515

206 : 1, 2, 103, 206

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,515,206,554, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

515:5x 103

206:2x 103

554:2x 277

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

2x 2x 103 = 412

Therefore, the value for common factors is 412.

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 = 42552274640/(1x412)

LCM = 42552274640/412

LCM = 103282220

Thus, we can understand that the LCM of 724,515,206,554 is 103282220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 515, 206, 554

1. What is the LCM of 724, 515, 206, 554?

Answer: LCM of 724, 515, 206, 554 is 103282220.

2. How to calculate the LCM of 724, 515, 206, 554?

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 724, 515, 206, 554.

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}.