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LCM of 852, 246, 205, 679

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


Find the LCM of 852, 246, 205, 679 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 852, 246, 205, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,246,205,679

Given numbers are 852,246,205,679

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

The LCM of 852,246,205,679 is 118594140.

Find LCM of 852,246,205,679 with Prime Factorization


2 852, 246, 205, 679
3 426, 123, 205, 679
41 142, 41, 205, 679
142, 1, 5, 679

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

2 x 3 x 41 x 142 x 1 x 5 x 679 = 118594140

Therefore, the lowest common multiple of 852,246,205,679 is 118594140.

LCM Formula to Find Lowest Common Multiple of 852,246,205,679

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.

852 x 246 x 205 x 679 = 29174158440

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

246 : 1, 2, 3, 6, 41, 82, 123, 246

205 : 1, 5, 41, 205

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,246,205,679, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

246:2x 3x 41

205:5x 41

679:7x 97

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 41 = 246

Therefore, the value for common factors is 246.

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 = 29174158440/(1x246)

LCM = 29174158440/246

LCM = 118594140

Thus, we can understand that the LCM of 852,246,205,679 is 118594140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 246, 205, 679

1. What is the LCM of 852, 246, 205, 679?

Answer: LCM of 852, 246, 205, 679 is 118594140.

2. How to calculate the LCM of 852, 246, 205, 679?

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 852, 246, 205, 679.

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}.