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LCM of 556, 533, 130, 206, 498

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


Find the LCM of 556, 533, 130, 206, 498 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 556, 533, 130, 206, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,533,130,206,498

Given numbers are 556,533,130,206,498

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

The LCM of 556,533,130,206,498 is 38002185780.

Find LCM of 556,533,130,206,498 with Prime Factorization


2 556, 533, 130, 206, 498
13 278, 533, 65, 103, 249
278, 41, 5, 103, 249

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

2 x 13 x 278 x 41 x 5 x 103 x 249 = 38002185780

Therefore, the lowest common multiple of 556,533,130,206,498 is 38002185780.

LCM Formula to Find Lowest Common Multiple of 556,533,130,206,498

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.

556 x 533 x 130 x 206 x 498 = 3952227321120

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.

556 : 1, 2, 4, 139, 278, 556

533 : 1, 13, 41, 533

130 : 1, 2, 5, 10, 13, 26, 65, 130

206 : 1, 2, 103, 206

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,533,130,206,498, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

533:13x 41

130:2x 5x 13

206:2x 103

498:2x 3x 83

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 3952227321120/(1x104)

LCM = 3952227321120/104

LCM = 38002185780

Thus, we can understand that the LCM of 556,533,130,206,498 is 38002185780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 533, 130, 206, 498

1. What is the LCM of 556, 533, 130, 206, 498?

Answer: LCM of 556, 533, 130, 206, 498 is 38002185780.

2. How to calculate the LCM of 556, 533, 130, 206, 498?

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 556, 533, 130, 206, 498.

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}.