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LCM of 909, 968, 742, 195, 884

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


Find the LCM of 909, 968, 742, 195, 884 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 909, 968, 742, 195, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,968,742,195,884

Given numbers are 909,968,742,195,884

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

The LCM of 909,968,742,195,884 is 360724323960.

Find LCM of 909,968,742,195,884 with Prime Factorization


2 909, 968, 742, 195, 884
2 909, 484, 371, 195, 442
3 909, 242, 371, 195, 221
13 303, 242, 371, 65, 221
303, 242, 371, 5, 17

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

2 x 2 x 3 x 13 x 303 x 242 x 371 x 5 x 17 = 360724323960

Therefore, the lowest common multiple of 909,968,742,195,884 is 360724323960.

LCM Formula to Find Lowest Common Multiple of 909,968,742,195,884

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.

909 x 968 x 742 x 195 x 884 = 112545989075520

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.

909 : 1, 3, 9, 101, 303, 909

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

742 : 1, 2, 7, 14, 53, 106, 371, 742

195 : 1, 3, 5, 13, 15, 39, 65, 195

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,968,742,195,884, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

968:2x 2x 2x 11x 11

742:2x 7x 53

195:3x 5x 13

884:2x 2x 13x 17

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 112545989075520/(1x312)

LCM = 112545989075520/312

LCM = 360724323960

Thus, we can understand that the LCM of 909,968,742,195,884 is 360724323960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 968, 742, 195, 884

1. What is the LCM of 909, 968, 742, 195, 884?

Answer: LCM of 909, 968, 742, 195, 884 is 360724323960.

2. How to calculate the LCM of 909, 968, 742, 195, 884?

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 909, 968, 742, 195, 884.

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}.