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LCM of 177, 884, 198, 952, 880

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


Find the LCM of 177, 884, 198, 952, 880 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 177, 884, 198, 952, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,884,198,952,880

Given numbers are 177,884,198,952,880

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

The LCM of 177,884,198,952,880 is 722882160.

Find LCM of 177,884,198,952,880 with Prime Factorization


2 177, 884, 198, 952, 880
2 177, 442, 99, 476, 440
2 177, 221, 99, 238, 220
3 177, 221, 99, 119, 110
11 59, 221, 33, 119, 110
17 59, 221, 3, 119, 10
59, 13, 3, 7, 10

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

2 x 2 x 2 x 3 x 11 x 17 x 59 x 13 x 3 x 7 x 10 = 722882160

Therefore, the lowest common multiple of 177,884,198,952,880 is 722882160.

LCM Formula to Find Lowest Common Multiple of 177,884,198,952,880

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.

177 x 884 x 198 x 952 x 880 = 25954361072640

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.

177 : 1, 3, 59, 177

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

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,884,198,952,880, is 1.

Now, the common factors can be found like this.

177:3x 59

884:2x 2x 13x 17

198:2x 3x 3x 11

952:2x 2x 2x 7x 17

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

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 2x 2x 3x 11x 17 = 35904

Therefore, the value for common factors is 35904.

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 = 25954361072640/(1x35904)

LCM = 25954361072640/35904

LCM = 722882160

Thus, we can understand that the LCM of 177,884,198,952,880 is 722882160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 884, 198, 952, 880

1. What is the LCM of 177, 884, 198, 952, 880?

Answer: LCM of 177, 884, 198, 952, 880 is 722882160.

2. How to calculate the LCM of 177, 884, 198, 952, 880?

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 177, 884, 198, 952, 880.

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}.