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LCM of 678, 209, 793, 610

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


Find the LCM of 678, 209, 793, 610 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, 209, 793, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,209,793,610

Given numbers are 678,209,793,610

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

The LCM of 678,209,793,610 is 561848430.

Find LCM of 678,209,793,610 with Prime Factorization


2 678, 209, 793, 610
61 339, 209, 793, 305
339, 209, 13, 5

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

2 x 61 x 339 x 209 x 13 x 5 = 561848430

Therefore, the lowest common multiple of 678,209,793,610 is 561848430.

LCM Formula to Find Lowest Common Multiple of 678,209,793,610

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 209 x 793 x 610 = 68545508460

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

209 : 1, 11, 19, 209

793 : 1, 13, 61, 793

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,209,793,610, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

209:11x 19

793:13x 61

610:2x 5x 61

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 68545508460/(1x122)

LCM = 68545508460/122

LCM = 561848430

Thus, we can understand that the LCM of 678,209,793,610 is 561848430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 209, 793, 610

1. What is the LCM of 678, 209, 793, 610?

Answer: LCM of 678, 209, 793, 610 is 561848430.

2. How to calculate the LCM of 678, 209, 793, 610?

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, 209, 793, 610.

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}.