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LCM of 949, 361, 108, 979, 386

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


Find the LCM of 949, 361, 108, 979, 386 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 949, 361, 108, 979, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,361,108,979,386

Given numbers are 949,361,108,979,386

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

The LCM of 949,361,108,979,386 is 6990965688564.

Find LCM of 949,361,108,979,386 with Prime Factorization


2 949, 361, 108, 979, 386
949, 361, 54, 979, 193

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

2 x 949 x 361 x 54 x 979 x 193 = 6990965688564

Therefore, the lowest common multiple of 949,361,108,979,386 is 6990965688564.

LCM Formula to Find Lowest Common Multiple of 949,361,108,979,386

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.

949 x 361 x 108 x 979 x 386 = 13981931377128

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.

949 : 1, 13, 73, 949

361 : 1, 19, 361

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

979 : 1, 11, 89, 979

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,361,108,979,386, is 1.

Now, the common factors can be found like this.

949:13x 73

361:19x 19

108:2x 2x 3x 3x 3

979:11x 89

386:2x 193

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

2 = 2

Therefore, the value for common factors is 2.

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 = 13981931377128/(1x2)

LCM = 13981931377128/2

LCM = 6990965688564

Thus, we can understand that the LCM of 949,361,108,979,386 is 6990965688564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 361, 108, 979, 386

1. What is the LCM of 949, 361, 108, 979, 386?

Answer: LCM of 949, 361, 108, 979, 386 is 6990965688564.

2. How to calculate the LCM of 949, 361, 108, 979, 386?

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 949, 361, 108, 979, 386.

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}.