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LCM of 416, 120, 135, 538

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


Find the LCM of 416, 120, 135, 538 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 416, 120, 135, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,120,135,538

Given numbers are 416,120,135,538

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

The LCM of 416,120,135,538 is 15107040.

Find LCM of 416,120,135,538 with Prime Factorization


2 416, 120, 135, 538
2 208, 60, 135, 269
2 104, 30, 135, 269
3 52, 15, 135, 269
5 52, 5, 45, 269
52, 1, 9, 269

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

2 x 2 x 2 x 3 x 5 x 52 x 1 x 9 x 269 = 15107040

Therefore, the lowest common multiple of 416,120,135,538 is 15107040.

LCM Formula to Find Lowest Common Multiple of 416,120,135,538

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.

416 x 120 x 135 x 538 = 3625689600

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

135 : 1, 3, 5, 9, 15, 27, 45, 135

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,120,135,538, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

120:2x 2x 2x 3x 5

135:3x 3x 3x 5

538:2x 269

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 5 = 240

Therefore, the value for common factors is 240.

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 = 3625689600/(1x240)

LCM = 3625689600/240

LCM = 15107040

Thus, we can understand that the LCM of 416,120,135,538 is 15107040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 120, 135, 538

1. What is the LCM of 416, 120, 135, 538?

Answer: LCM of 416, 120, 135, 538 is 15107040.

2. How to calculate the LCM of 416, 120, 135, 538?

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 416, 120, 135, 538.

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}.