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LCM of 187, 352, 961, 804, 112

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


Find the LCM of 187, 352, 961, 804, 112 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 187, 352, 961, 804, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,352,961,804,112

Given numbers are 187,352,961,804,112

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

The LCM of 187,352,961,804,112 is 8091127968.

Find LCM of 187,352,961,804,112 with Prime Factorization


2 187, 352, 961, 804, 112
2 187, 176, 961, 402, 56
2 187, 88, 961, 201, 28
2 187, 44, 961, 201, 14
11 187, 22, 961, 201, 7
17, 2, 961, 201, 7

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

2 x 2 x 2 x 2 x 11 x 17 x 2 x 961 x 201 x 7 = 8091127968

Therefore, the lowest common multiple of 187,352,961,804,112 is 8091127968.

LCM Formula to Find Lowest Common Multiple of 187,352,961,804,112

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.

187 x 352 x 961 x 804 x 112 = 5696154089472

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.

187 : 1, 11, 17, 187

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

961 : 1, 31, 961

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,352,961,804,112, is 1.

Now, the common factors can be found like this.

187:11x 17

352:2x 2x 2x 2x 2x 11

961:31x 31

804:2x 2x 3x 67

112:2x 2x 2x 2x 7

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 11 = 704

Therefore, the value for common factors is 704.

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 = 5696154089472/(1x704)

LCM = 5696154089472/704

LCM = 8091127968

Thus, we can understand that the LCM of 187,352,961,804,112 is 8091127968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 352, 961, 804, 112

1. What is the LCM of 187, 352, 961, 804, 112?

Answer: LCM of 187, 352, 961, 804, 112 is 8091127968.

2. How to calculate the LCM of 187, 352, 961, 804, 112?

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 187, 352, 961, 804, 112.

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}.