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LCM of 276, 973, 644, 447

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


Find the LCM of 276, 973, 644, 447 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 276, 973, 644, 447. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,973,644,447

Given numbers are 276,973,644,447

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

The LCM of 276,973,644,447 is 40013652.

Find LCM of 276,973,644,447 with Prime Factorization


2 276, 973, 644, 447
2 138, 973, 322, 447
3 69, 973, 161, 447
7 23, 973, 161, 149
23 23, 139, 23, 149
1, 139, 1, 149

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

2 x 2 x 3 x 7 x 23 x 1 x 139 x 1 x 149 = 40013652

Therefore, the lowest common multiple of 276,973,644,447 is 40013652.

LCM Formula to Find Lowest Common Multiple of 276,973,644,447

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.

276 x 973 x 644 x 447 = 77306375664

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

973 : 1, 7, 139, 973

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,973,644,447, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

973:7x 139

644:2x 2x 7x 23

447:3x 149

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 3x 7x 23 = 1932

Therefore, the value for common factors is 1932.

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 = 77306375664/(1x1932)

LCM = 77306375664/1932

LCM = 40013652

Thus, we can understand that the LCM of 276,973,644,447 is 40013652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 973, 644, 447

1. What is the LCM of 276, 973, 644, 447?

Answer: LCM of 276, 973, 644, 447 is 40013652.

2. How to calculate the LCM of 276, 973, 644, 447?

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 276, 973, 644, 447.

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}.