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LCM of 839, 840, 364, 328

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


Find the LCM of 839, 840, 364, 328 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 839, 840, 364, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,840,364,328

Given numbers are 839,840,364,328

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

The LCM of 839,840,364,328 is 375637080.

Find LCM of 839,840,364,328 with Prime Factorization


2 839, 840, 364, 328
2 839, 420, 182, 164
2 839, 210, 91, 82
7 839, 105, 91, 41
839, 15, 13, 41

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

2 x 2 x 2 x 7 x 839 x 15 x 13 x 41 = 375637080

Therefore, the lowest common multiple of 839,840,364,328 is 375637080.

LCM Formula to Find Lowest Common Multiple of 839,840,364,328

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.

839 x 840 x 364 x 328 = 84142705920

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.

839 : 1, 839

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,840,364,328, is 1.

Now, the common factors can be found like this.

839:839

840:2x 2x 2x 3x 5x 7

364:2x 2x 7x 13

328:2x 2x 2x 41

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 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 84142705920/(1x224)

LCM = 84142705920/224

LCM = 375637080

Thus, we can understand that the LCM of 839,840,364,328 is 375637080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 840, 364, 328

1. What is the LCM of 839, 840, 364, 328?

Answer: LCM of 839, 840, 364, 328 is 375637080.

2. How to calculate the LCM of 839, 840, 364, 328?

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 839, 840, 364, 328.

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}.