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LCM of 306, 378, 698, 848, 208

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


Find the LCM of 306, 378, 698, 848, 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 306, 378, 698, 848, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,378,698,848,208

Given numbers are 306,378,698,848,208

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

The LCM of 306,378,698,848,208 is 12361619088.

Find LCM of 306,378,698,848,208 with Prime Factorization


2 306, 378, 698, 848, 208
2 153, 189, 349, 424, 104
2 153, 189, 349, 212, 52
2 153, 189, 349, 106, 26
3 153, 189, 349, 53, 13
3 51, 63, 349, 53, 13
17, 21, 349, 53, 13

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

2 x 2 x 2 x 2 x 3 x 3 x 17 x 21 x 349 x 53 x 13 = 12361619088

Therefore, the lowest common multiple of 306,378,698,848,208 is 12361619088.

LCM Formula to Find Lowest Common Multiple of 306,378,698,848,208

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.

306 x 378 x 698 x 848 x 208 = 14240585189376

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

698 : 1, 2, 349, 698

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,378,698,848,208, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

378:2x 3x 3x 3x 7

698:2x 349

848:2x 2x 2x 2x 53

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.

2x 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 14240585189376/(2x576)

LCM = 14240585189376/1152

LCM = 12361619088

Thus, we can understand that the LCM of 306,378,698,848,208 is 12361619088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 378, 698, 848, 208

1. What is the LCM of 306, 378, 698, 848, 208?

Answer: LCM of 306, 378, 698, 848, 208 is 12361619088.

2. How to calculate the LCM of 306, 378, 698, 848, 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 306, 378, 698, 848, 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}.