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LCM of 288, 620, 168, 537, 112

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


Find the LCM of 288, 620, 168, 537, 112 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 288, 620, 168, 537, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 288,620,168,537,112

Given numbers are 288,620,168,537,112

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

The LCM of 288,620,168,537,112 is 55933920.

Find LCM of 288,620,168,537,112 with Prime Factorization


2 288, 620, 168, 537, 112
2 144, 310, 84, 537, 56
2 72, 155, 42, 537, 28
2 36, 155, 21, 537, 14
3 18, 155, 21, 537, 7
7 6, 155, 7, 179, 7
6, 155, 1, 179, 1

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

2 x 2 x 2 x 2 x 3 x 7 x 6 x 155 x 1 x 179 x 1 = 55933920

Therefore, the lowest common multiple of 288,620,168,537,112 is 55933920.

LCM Formula to Find Lowest Common Multiple of 288,620,168,537,112

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.

288 x 620 x 168 x 537 x 112 = 1804204523520

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

537 : 1, 3, 179, 537

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,620,168,537,112, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

620:2x 2x 5x 31

168:2x 2x 2x 3x 7

537:3x 179

112:2x 2x 2x 2x 7

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 2x 2x 2x 3x 3x 7 = 32256

Therefore, the value for common factors is 32256.

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 = 1804204523520/(1x32256)

LCM = 1804204523520/32256

LCM = 55933920

Thus, we can understand that the LCM of 288,620,168,537,112 is 55933920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 288, 620, 168, 537, 112

1. What is the LCM of 288, 620, 168, 537, 112?

Answer: LCM of 288, 620, 168, 537, 112 is 55933920.

2. How to calculate the LCM of 288, 620, 168, 537, 112?

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 288, 620, 168, 537, 112.

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}.