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LCM of 253, 695, 391, 973

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


Find the LCM of 253, 695, 391, 973 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 253, 695, 391, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,695,391,973

Given numbers are 253,695,391,973

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

The LCM of 253,695,391,973 is 20924365.

Find LCM of 253,695,391,973 with Prime Factorization


23 253, 695, 391, 973
139 11, 695, 17, 973
11, 5, 17, 7

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

23 x 139 x 11 x 5 x 17 x 7 = 20924365

Therefore, the lowest common multiple of 253,695,391,973 is 20924365.

LCM Formula to Find Lowest Common Multiple of 253,695,391,973

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.

253 x 695 x 391 x 973 = 66895194905

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.

253 : 1, 11, 23, 253

695 : 1, 5, 139, 695

391 : 1, 17, 23, 391

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,695,391,973, is 1.

Now, the common factors can be found like this.

253:11x 23

695:5x 139

391:17x 23

973:7x 139

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

23x 139 = 3197

Therefore, the value for common factors is 3197.

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 = 66895194905/(1x3197)

LCM = 66895194905/3197

LCM = 20924365

Thus, we can understand that the LCM of 253,695,391,973 is 20924365.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 695, 391, 973

1. What is the LCM of 253, 695, 391, 973?

Answer: LCM of 253, 695, 391, 973 is 20924365.

2. How to calculate the LCM of 253, 695, 391, 973?

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 253, 695, 391, 973.

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}.