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LCM of 386, 979, 212, 890

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


Find the LCM of 386, 979, 212, 890 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 386, 979, 212, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,979,212,890

Given numbers are 386,979,212,890

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

The LCM of 386,979,212,890 is 200283820.

Find LCM of 386,979,212,890 with Prime Factorization


2 386, 979, 212, 890
89 193, 979, 106, 445
193, 11, 106, 5

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

2 x 89 x 193 x 11 x 106 x 5 = 200283820

Therefore, the lowest common multiple of 386,979,212,890 is 200283820.

LCM Formula to Find Lowest Common Multiple of 386,979,212,890

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.

386 x 979 x 212 x 890 = 71301039920

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.

386 : 1, 2, 193, 386

979 : 1, 11, 89, 979

212 : 1, 2, 4, 53, 106, 212

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,979,212,890, is 1.

Now, the common factors can be found like this.

386:2x 193

979:11x 89

212:2x 2x 53

890:2x 5x 89

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 89 = 356

Therefore, the value for common factors is 356.

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 = 71301039920/(1x356)

LCM = 71301039920/356

LCM = 200283820

Thus, we can understand that the LCM of 386,979,212,890 is 200283820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 979, 212, 890

1. What is the LCM of 386, 979, 212, 890?

Answer: LCM of 386, 979, 212, 890 is 200283820.

2. How to calculate the LCM of 386, 979, 212, 890?

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 386, 979, 212, 890.

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}.