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LCM of 369, 914, 104, 154, 669

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


Find the LCM of 369, 914, 104, 154, 669 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 369, 914, 104, 154, 669. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,914,104,154,669

Given numbers are 369,914,104,154,669

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

The LCM of 369,914,104,154,669 is 301142113272.

Find LCM of 369,914,104,154,669 with Prime Factorization


2 369, 914, 104, 154, 669
3 369, 457, 52, 77, 669
123, 457, 52, 77, 223

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

2 x 3 x 123 x 457 x 52 x 77 x 223 = 301142113272

Therefore, the lowest common multiple of 369,914,104,154,669 is 301142113272.

LCM Formula to Find Lowest Common Multiple of 369,914,104,154,669

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.

369 x 914 x 104 x 154 x 669 = 3613705359264

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.

369 : 1, 3, 9, 41, 123, 369

914 : 1, 2, 457, 914

104 : 1, 2, 4, 8, 13, 26, 52, 104

154 : 1, 2, 7, 11, 14, 22, 77, 154

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,914,104,154,669, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

914:2x 457

104:2x 2x 2x 13

154:2x 7x 11

669:3x 223

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 = 3613705359264/(1x12)

LCM = 3613705359264/12

LCM = 301142113272

Thus, we can understand that the LCM of 369,914,104,154,669 is 301142113272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 914, 104, 154, 669

1. What is the LCM of 369, 914, 104, 154, 669?

Answer: LCM of 369, 914, 104, 154, 669 is 301142113272.

2. How to calculate the LCM of 369, 914, 104, 154, 669?

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 369, 914, 104, 154, 669.

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}.