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LCM of 880, 198, 968, 249, 163

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


Find the LCM of 880, 198, 968, 249, 163 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 880, 198, 968, 249, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,198,968,249,163

Given numbers are 880,198,968,249,163

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

The LCM of 880,198,968,249,163 is 1178646480.

Find LCM of 880,198,968,249,163 with Prime Factorization


2 880, 198, 968, 249, 163
2 440, 99, 484, 249, 163
2 220, 99, 242, 249, 163
3 110, 99, 121, 249, 163
11 110, 33, 121, 83, 163
10, 3, 11, 83, 163

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

2 x 2 x 2 x 3 x 11 x 10 x 3 x 11 x 83 x 163 = 1178646480

Therefore, the lowest common multiple of 880,198,968,249,163 is 1178646480.

LCM Formula to Find Lowest Common Multiple of 880,198,968,249,163

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.

880 x 198 x 968 x 249 x 163 = 6845578755840

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

249 : 1, 3, 83, 249

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,198,968,249,163, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

198:2x 3x 3x 11

968:2x 2x 2x 11x 11

249:3x 83

163:163

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 2x 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 6845578755840/(1x5808)

LCM = 6845578755840/5808

LCM = 1178646480

Thus, we can understand that the LCM of 880,198,968,249,163 is 1178646480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 198, 968, 249, 163

1. What is the LCM of 880, 198, 968, 249, 163?

Answer: LCM of 880, 198, 968, 249, 163 is 1178646480.

2. How to calculate the LCM of 880, 198, 968, 249, 163?

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 880, 198, 968, 249, 163.

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}.