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LCM of 135, 498, 901, 602, 412

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


Find the LCM of 135, 498, 901, 602, 412 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 135, 498, 901, 602, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,498,901,602,412

Given numbers are 135,498,901,602,412

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

The LCM of 135,498,901,602,412 is 1251988568460.

Find LCM of 135,498,901,602,412 with Prime Factorization


2 135, 498, 901, 602, 412
3 135, 249, 901, 301, 206
45, 83, 901, 301, 206

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

2 x 3 x 45 x 83 x 901 x 301 x 206 = 1251988568460

Therefore, the lowest common multiple of 135,498,901,602,412 is 1251988568460.

LCM Formula to Find Lowest Common Multiple of 135,498,901,602,412

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.

135 x 498 x 901 x 602 x 412 = 15023862821520

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.

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

901 : 1, 17, 53, 901

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

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,498,901,602,412, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

498:2x 3x 83

901:17x 53

602:2x 7x 43

412:2x 2x 103

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 3 = 12

Therefore, the value for common factors is 12.

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 = 15023862821520/(1x12)

LCM = 15023862821520/12

LCM = 1251988568460

Thus, we can understand that the LCM of 135,498,901,602,412 is 1251988568460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 498, 901, 602, 412

1. What is the LCM of 135, 498, 901, 602, 412?

Answer: LCM of 135, 498, 901, 602, 412 is 1251988568460.

2. How to calculate the LCM of 135, 498, 901, 602, 412?

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 135, 498, 901, 602, 412.

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}.