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LCM of 936, 102, 255, 306

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


Find the LCM of 936, 102, 255, 306 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 936, 102, 255, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 936,102,255,306

Given numbers are 936,102,255,306

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

The LCM of 936,102,255,306 is 79560.

Find LCM of 936,102,255,306 with Prime Factorization


2 936, 102, 255, 306
3 468, 51, 255, 153
3 156, 17, 85, 51
17 52, 17, 85, 17
52, 1, 5, 1

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

2 x 3 x 3 x 17 x 52 x 1 x 5 x 1 = 79560

Therefore, the lowest common multiple of 936,102,255,306 is 79560.

LCM Formula to Find Lowest Common Multiple of 936,102,255,306

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.

936 x 102 x 255 x 306 = 7449680160

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

102 : 1, 2, 3, 6, 17, 34, 51, 102

255 : 1, 3, 5, 15, 17, 51, 85, 255

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,102,255,306, is 3.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

102:2x 3x 17

255:3x 5x 17

306:2x 3x 3x 17

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 3x 3x 3x 17x 17 = 31212

Therefore, the value for common factors is 31212.

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 = 7449680160/(3x31212)

LCM = 7449680160/93636

LCM = 79560

Thus, we can understand that the LCM of 936,102,255,306 is 79560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 936, 102, 255, 306

1. What is the LCM of 936, 102, 255, 306?

Answer: LCM of 936, 102, 255, 306 is 79560.

2. How to calculate the LCM of 936, 102, 255, 306?

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 936, 102, 255, 306.

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}.