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LCM of 972, 695, 213, 621

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


Find the LCM of 972, 695, 213, 621 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, 695, 213, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,695,213,621

Given numbers are 972,695,213,621

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

The LCM of 972,695,213,621 is 1103156820.

Find LCM of 972,695,213,621 with Prime Factorization


3 972, 695, 213, 621
3 324, 695, 71, 207
3 108, 695, 71, 69
36, 695, 71, 23

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

3 x 3 x 3 x 36 x 695 x 71 x 23 = 1103156820

Therefore, the lowest common multiple of 972,695,213,621 is 1103156820.

LCM Formula to Find Lowest Common Multiple of 972,695,213,621

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 695 x 213 x 621 = 89355702420

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

695 : 1, 5, 139, 695

213 : 1, 3, 71, 213

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,695,213,621, is 1.

Now, the common factors can be found like this.

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

695:5x 139

213:3x 71

621:3x 3x 3x 23

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 89355702420/(1x81)

LCM = 89355702420/81

LCM = 1103156820

Thus, we can understand that the LCM of 972,695,213,621 is 1103156820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 695, 213, 621

1. What is the LCM of 972, 695, 213, 621?

Answer: LCM of 972, 695, 213, 621 is 1103156820.

2. How to calculate the LCM of 972, 695, 213, 621?

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, 695, 213, 621.

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}.