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LCM of 646, 669, 684

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


Find the LCM of 646, 669, 684 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 646, 669, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,669,684

Given numbers are 646,669,684

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

The LCM of 646,669,684 is 2593044.

Find LCM of 646,669,684 with Prime Factorization


2 646, 669, 684
3 323, 669, 342
19 323, 223, 114
17, 223, 6

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

2 x 3 x 19 x 17 x 223 x 6 = 2593044

Therefore, the lowest common multiple of 646,669,684 is 2593044.

LCM Formula to Find Lowest Common Multiple of 646,669,684

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.

646 x 669 x 684 = 295607016

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

669 : 1, 3, 223, 669

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,669,684, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

669:3x 223

684:2x 2x 3x 3x 19

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 295607016/(1x114)

LCM = 295607016/114

LCM = 2593044

Thus, we can understand that the LCM of 646,669,684 is 2593044.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 646, 669, 684

1. What is the LCM of 646, 669, 684?

Answer: LCM of 646, 669, 684 is 2593044.

2. How to calculate the LCM of 646, 669, 684?

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 646, 669, 684.

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}.