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LCM of 678, 400, 795

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


Find the LCM of 678, 400, 795 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 678, 400, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,400,795

Given numbers are 678,400,795

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

The LCM of 678,400,795 is 7186800.

Find LCM of 678,400,795 with Prime Factorization


2 678, 400, 795
3 339, 200, 795
5 113, 200, 265
113, 40, 53

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

2 x 3 x 5 x 113 x 40 x 53 = 7186800

Therefore, the lowest common multiple of 678,400,795 is 7186800.

LCM Formula to Find Lowest Common Multiple of 678,400,795

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.

678 x 400 x 795 = 215604000

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,400,795, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

400:2x 2x 2x 2x 5x 5

795:3x 5x 53

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 5 = 30

Therefore, the value for common factors is 30.

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 = 215604000/(1x30)

LCM = 215604000/30

LCM = 7186800

Thus, we can understand that the LCM of 678,400,795 is 7186800.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 678, 400, 795

1. What is the LCM of 678, 400, 795?

Answer: LCM of 678, 400, 795 is 7186800.

2. How to calculate the LCM of 678, 400, 795?

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 678, 400, 795.

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}.