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LCM of 972, 871, 901, 778, 221

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


Find the LCM of 972, 871, 901, 778, 221 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, 871, 901, 778, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,871,901,778,221

Given numbers are 972,871,901,778,221

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

The LCM of 972,871,901,778,221 is 296728193268.

Find LCM of 972,871,901,778,221 with Prime Factorization


2 972, 871, 901, 778, 221
13 486, 871, 901, 389, 221
17 486, 67, 901, 389, 17
486, 67, 53, 389, 1

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

2 x 13 x 17 x 486 x 67 x 53 x 389 x 1 = 296728193268

Therefore, the lowest common multiple of 972,871,901,778,221 is 296728193268.

LCM Formula to Find Lowest Common Multiple of 972,871,901,778,221

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 871 x 901 x 778 x 221 = 131153861424456

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

871 : 1, 13, 67, 871

901 : 1, 17, 53, 901

778 : 1, 2, 389, 778

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,871,901,778,221, is 1.

Now, the common factors can be found like this.

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

871:13x 67

901:17x 53

778:2x 389

221:13x 17

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 131153861424456/(1x442)

LCM = 131153861424456/442

LCM = 296728193268

Thus, we can understand that the LCM of 972,871,901,778,221 is 296728193268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 871, 901, 778, 221

1. What is the LCM of 972, 871, 901, 778, 221?

Answer: LCM of 972, 871, 901, 778, 221 is 296728193268.

2. How to calculate the LCM of 972, 871, 901, 778, 221?

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, 871, 901, 778, 221.

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}.