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LCM of 116, 972, 174, 432

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


Find the LCM of 116, 972, 174, 432 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 116, 972, 174, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,972,174,432

Given numbers are 116,972,174,432

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

The LCM of 116,972,174,432 is 112752.

Find LCM of 116,972,174,432 with Prime Factorization


2 116, 972, 174, 432
2 58, 486, 87, 216
3 29, 243, 87, 108
3 29, 81, 29, 36
3 29, 27, 29, 12
29 29, 9, 29, 4
1, 9, 1, 4

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

2 x 2 x 3 x 3 x 3 x 29 x 1 x 9 x 1 x 4 = 112752

Therefore, the lowest common multiple of 116,972,174,432 is 112752.

LCM Formula to Find Lowest Common Multiple of 116,972,174,432

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.

116 x 972 x 174 x 432 = 8475342336

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.

116 : 1, 2, 4, 29, 58, 116

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

174 : 1, 2, 3, 6, 29, 58, 87, 174

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,972,174,432, is 2.

Now, the common factors can be found like this.

116:2x 2x 29

972:2x 2x 3x 3x 3x 3x 3

174:2x 3x 29

432:2x 2x 2x 2x 3x 3x 3

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 3x 3x 3x 29 = 37584

Therefore, the value for common factors is 37584.

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 = 8475342336/(2x37584)

LCM = 8475342336/75168

LCM = 112752

Thus, we can understand that the LCM of 116,972,174,432 is 112752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 972, 174, 432

1. What is the LCM of 116, 972, 174, 432?

Answer: LCM of 116, 972, 174, 432 is 112752.

2. How to calculate the LCM of 116, 972, 174, 432?

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 116, 972, 174, 432.

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}.