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LCM of 894, 415, 306, 323, 684

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


Find the LCM of 894, 415, 306, 323, 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 894, 415, 306, 323, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,415,306,323,684

Given numbers are 894,415,306,323,684

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

The LCM of 894,415,306,323,684 is 719017380.

Find LCM of 894,415,306,323,684 with Prime Factorization


2 894, 415, 306, 323, 684
3 447, 415, 153, 323, 342
3 149, 415, 51, 323, 114
17 149, 415, 17, 323, 38
19 149, 415, 1, 19, 38
149, 415, 1, 1, 2

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

2 x 3 x 3 x 17 x 19 x 149 x 415 x 1 x 1 x 2 = 719017380

Therefore, the lowest common multiple of 894,415,306,323,684 is 719017380.

LCM Formula to Find Lowest Common Multiple of 894,415,306,323,684

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.

894 x 415 x 306 x 323 x 684 = 25082202283920

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

415 : 1, 5, 83, 415

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

323 : 1, 17, 19, 323

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 894,415,306,323,684, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

415:5x 83

306:2x 3x 3x 17

323:17x 19

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 2x 3x 3x 3x 17x 19 = 34884

Therefore, the value for common factors is 34884.

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 = 25082202283920/(1x34884)

LCM = 25082202283920/34884

LCM = 719017380

Thus, we can understand that the LCM of 894,415,306,323,684 is 719017380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 415, 306, 323, 684

1. What is the LCM of 894, 415, 306, 323, 684?

Answer: LCM of 894, 415, 306, 323, 684 is 719017380.

2. How to calculate the LCM of 894, 415, 306, 323, 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 894, 415, 306, 323, 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}.