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LCM of 136, 450, 177, 666, 828

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


Find the LCM of 136, 450, 177, 666, 828 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 136, 450, 177, 666, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 136,450,177,666,828

Given numbers are 136,450,177,666,828

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

The LCM of 136,450,177,666,828 is 1536395400.

Find LCM of 136,450,177,666,828 with Prime Factorization


2 136, 450, 177, 666, 828
2 68, 225, 177, 333, 414
3 34, 225, 177, 333, 207
3 34, 75, 59, 111, 69
34, 25, 59, 37, 23

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

2 x 2 x 3 x 3 x 34 x 25 x 59 x 37 x 23 = 1536395400

Therefore, the lowest common multiple of 136,450,177,666,828 is 1536395400.

LCM Formula to Find Lowest Common Multiple of 136,450,177,666,828

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.

136 x 450 x 177 x 666 x 828 = 5973505315200

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.

136 : 1, 2, 4, 8, 17, 34, 68, 136

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

177 : 1, 3, 59, 177

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,450,177,666,828, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

450:2x 3x 3x 5x 5

177:3x 59

666:2x 3x 3x 37

828:2x 2x 3x 3x 23

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 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 5973505315200/(1x3888)

LCM = 5973505315200/3888

LCM = 1536395400

Thus, we can understand that the LCM of 136,450,177,666,828 is 1536395400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 136, 450, 177, 666, 828

1. What is the LCM of 136, 450, 177, 666, 828?

Answer: LCM of 136, 450, 177, 666, 828 is 1536395400.

2. How to calculate the LCM of 136, 450, 177, 666, 828?

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 136, 450, 177, 666, 828.

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}.