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LCM of 102, 442, 540

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


Find the LCM of 102, 442, 540 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 102, 442, 540. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,442,540

Given numbers are 102,442,540

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

The LCM of 102,442,540 is 119340.

Find LCM of 102,442,540 with Prime Factorization


2 102, 442, 540
3 51, 221, 270
17 17, 221, 90
1, 13, 90

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

2 x 3 x 17 x 1 x 13 x 90 = 119340

Therefore, the lowest common multiple of 102,442,540 is 119340.

LCM Formula to Find Lowest Common Multiple of 102,442,540

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.

102 x 442 x 540 = 24345360

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.

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,442,540, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

442:2x 13x 17

540:2x 2x 3x 3x 3x 5

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 24345360/(2x102)

LCM = 24345360/204

LCM = 119340

Thus, we can understand that the LCM of 102,442,540 is 119340.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 102, 442, 540

1. What is the LCM of 102, 442, 540?

Answer: LCM of 102, 442, 540 is 119340.

2. How to calculate the LCM of 102, 442, 540?

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 102, 442, 540.

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}.