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LCM of 247, 533, 817, 208

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


Find the LCM of 247, 533, 817, 208 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 247, 533, 817, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,533,817,208

Given numbers are 247,533,817,208

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

The LCM of 247,533,817,208 is 6967376.

Find LCM of 247,533,817,208 with Prime Factorization


13 247, 533, 817, 208
19 19, 41, 817, 16
1, 41, 43, 16

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

13 x 19 x 1 x 41 x 43 x 16 = 6967376

Therefore, the lowest common multiple of 247,533,817,208 is 6967376.

LCM Formula to Find Lowest Common Multiple of 247,533,817,208

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.

247 x 533 x 817 x 208 = 22372244336

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.

247 : 1, 13, 19, 247

533 : 1, 13, 41, 533

817 : 1, 19, 43, 817

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,533,817,208, is 1.

Now, the common factors can be found like this.

247:13x 19

533:13x 41

817:19x 43

208:2x 2x 2x 2x 13

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

13x 13x 19 = 3211

Therefore, the value for common factors is 3211.

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 = 22372244336/(1x3211)

LCM = 22372244336/3211

LCM = 6967376

Thus, we can understand that the LCM of 247,533,817,208 is 6967376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 533, 817, 208

1. What is the LCM of 247, 533, 817, 208?

Answer: LCM of 247, 533, 817, 208 is 6967376.

2. How to calculate the LCM of 247, 533, 817, 208?

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 247, 533, 817, 208.

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}.