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LCM of 135, 856, 366, 243, 474

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


Find the LCM of 135, 856, 366, 243, 474 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, 856, 366, 243, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,856,366,243,474

Given numbers are 135,856,366,243,474

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

The LCM of 135,856,366,243,474 is 5011952760.

Find LCM of 135,856,366,243,474 with Prime Factorization


2 135, 856, 366, 243, 474
3 135, 428, 183, 243, 237
3 45, 428, 61, 81, 79
3 15, 428, 61, 27, 79
5, 428, 61, 9, 79

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

2 x 3 x 3 x 3 x 5 x 428 x 61 x 9 x 79 = 5011952760

Therefore, the lowest common multiple of 135,856,366,243,474 is 5011952760.

LCM Formula to Find Lowest Common Multiple of 135,856,366,243,474

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 856 x 366 x 243 x 474 = 4871618082720

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

366 : 1, 2, 3, 6, 61, 122, 183, 366

243 : 1, 3, 9, 27, 81, 243

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,856,366,243,474, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

856:2x 2x 2x 107

366:2x 3x 61

243:3x 3x 3x 3x 3

474:2x 3x 79

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 4871618082720/(1x972)

LCM = 4871618082720/972

LCM = 5011952760

Thus, we can understand that the LCM of 135,856,366,243,474 is 5011952760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 856, 366, 243, 474

1. What is the LCM of 135, 856, 366, 243, 474?

Answer: LCM of 135, 856, 366, 243, 474 is 5011952760.

2. How to calculate the LCM of 135, 856, 366, 243, 474?

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, 856, 366, 243, 474.

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}.