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LCM of 972, 244, 194, 177

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


Find the LCM of 972, 244, 194, 177 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 972, 244, 194, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,244,194,177

Given numbers are 972,244,194,177

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

The LCM of 972,244,194,177 is 339328116.

Find LCM of 972,244,194,177 with Prime Factorization


2 972, 244, 194, 177
2 486, 122, 97, 177
3 243, 61, 97, 177
81, 61, 97, 59

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

2 x 2 x 3 x 81 x 61 x 97 x 59 = 339328116

Therefore, the lowest common multiple of 972,244,194,177 is 339328116.

LCM Formula to Find Lowest Common Multiple of 972,244,194,177

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.

972 x 244 x 194 x 177 = 8143874784

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.

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

244 : 1, 2, 4, 61, 122, 244

194 : 1, 2, 97, 194

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,244,194,177, is 1.

Now, the common factors can be found like this.

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

244:2x 2x 61

194:2x 97

177:3x 59

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8143874784/(1x24)

LCM = 8143874784/24

LCM = 339328116

Thus, we can understand that the LCM of 972,244,194,177 is 339328116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 244, 194, 177

1. What is the LCM of 972, 244, 194, 177?

Answer: LCM of 972, 244, 194, 177 is 339328116.

2. How to calculate the LCM of 972, 244, 194, 177?

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 972, 244, 194, 177.

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}.