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LCM of 996, 269, 126, 173

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


Find the LCM of 996, 269, 126, 173 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 996, 269, 126, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,269,126,173

Given numbers are 996,269,126,173

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

The LCM of 996,269,126,173 is 973367892.

Find LCM of 996,269,126,173 with Prime Factorization


2 996, 269, 126, 173
3 498, 269, 63, 173
166, 269, 21, 173

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

2 x 3 x 166 x 269 x 21 x 173 = 973367892

Therefore, the lowest common multiple of 996,269,126,173 is 973367892.

LCM Formula to Find Lowest Common Multiple of 996,269,126,173

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.

996 x 269 x 126 x 173 = 5840207352

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

269 : 1, 269

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,269,126,173, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

269:269

126:2x 3x 3x 7

173:173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5840207352/(1x6)

LCM = 5840207352/6

LCM = 973367892

Thus, we can understand that the LCM of 996,269,126,173 is 973367892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 269, 126, 173

1. What is the LCM of 996, 269, 126, 173?

Answer: LCM of 996, 269, 126, 173 is 973367892.

2. How to calculate the LCM of 996, 269, 126, 173?

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 996, 269, 126, 173.

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}.