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LCM of 135, 814, 274, 419, 803

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


Find the LCM of 135, 814, 274, 419, 803 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, 814, 274, 419, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,814,274,419,803

Given numbers are 135,814,274,419,803

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

The LCM of 135,814,274,419,803 is 460485143910.

Find LCM of 135,814,274,419,803 with Prime Factorization


2 135, 814, 274, 419, 803
11 135, 407, 137, 419, 803
135, 37, 137, 419, 73

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

2 x 11 x 135 x 37 x 137 x 419 x 73 = 460485143910

Therefore, the lowest common multiple of 135,814,274,419,803 is 460485143910.

LCM Formula to Find Lowest Common Multiple of 135,814,274,419,803

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 814 x 274 x 419 x 803 = 10130673166020

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

274 : 1, 2, 137, 274

419 : 1, 419

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,814,274,419,803, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

814:2x 11x 37

274:2x 137

419:419

803:11x 73

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10130673166020/(1x22)

LCM = 10130673166020/22

LCM = 460485143910

Thus, we can understand that the LCM of 135,814,274,419,803 is 460485143910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 814, 274, 419, 803

1. What is the LCM of 135, 814, 274, 419, 803?

Answer: LCM of 135, 814, 274, 419, 803 is 460485143910.

2. How to calculate the LCM of 135, 814, 274, 419, 803?

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, 814, 274, 419, 803.

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}.