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LCM of 204, 306, 286, 602, 624

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


Find the LCM of 204, 306, 286, 602, 624 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 204, 306, 286, 602, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,306,286,602,624

Given numbers are 204,306,286,602,624

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

The LCM of 204,306,286,602,624 is 105369264.

Find LCM of 204,306,286,602,624 with Prime Factorization


2 204, 306, 286, 602, 624
2 102, 153, 143, 301, 312
3 51, 153, 143, 301, 156
13 17, 51, 143, 301, 52
17 17, 51, 11, 301, 4
1, 3, 11, 301, 4

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

2 x 2 x 3 x 13 x 17 x 1 x 3 x 11 x 301 x 4 = 105369264

Therefore, the lowest common multiple of 204,306,286,602,624 is 105369264.

LCM Formula to Find Lowest Common Multiple of 204,306,286,602,624

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.

204 x 306 x 286 x 602 x 624 = 6706542915072

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

602 : 1, 2, 7, 14, 43, 86, 301, 602

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,306,286,602,624, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

306:2x 3x 3x 17

286:2x 11x 13

602:2x 7x 43

624:2x 2x 2x 2x 3x 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 3x 3x 13x 17 = 31824

Therefore, the value for common factors is 31824.

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 = 6706542915072/(2x31824)

LCM = 6706542915072/63648

LCM = 105369264

Thus, we can understand that the LCM of 204,306,286,602,624 is 105369264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 306, 286, 602, 624

1. What is the LCM of 204, 306, 286, 602, 624?

Answer: LCM of 204, 306, 286, 602, 624 is 105369264.

2. How to calculate the LCM of 204, 306, 286, 602, 624?

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 204, 306, 286, 602, 624.

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}.