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LCM of 969, 257, 619, 619, 231

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


Find the LCM of 969, 257, 619, 619, 231 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 969, 257, 619, 619, 231. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,257,619,619,231

Given numbers are 969,257,619,619,231

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

The LCM of 969,257,619,619,231 is 11869659879.

Find LCM of 969,257,619,619,231 with Prime Factorization


3 969, 257, 619, 619, 231
619 323, 257, 619, 619, 77
323, 257, 1, 1, 77

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

3 x 619 x 323 x 257 x 1 x 1 x 77 = 11869659879

Therefore, the lowest common multiple of 969,257,619,619,231 is 11869659879.

LCM Formula to Find Lowest Common Multiple of 969,257,619,619,231

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.

969 x 257 x 619 x 619 x 231 = 22041958395303

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

257 : 1, 257

619 : 1, 619

619 : 1, 619

231 : 1, 3, 7, 11, 21, 33, 77, 231

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,257,619,619,231, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

257:257

619:619

619:619

231:3x 7x 11

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

3x 619 = 1857

Therefore, the value for common factors is 1857.

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 = 22041958395303/(1x1857)

LCM = 22041958395303/1857

LCM = 11869659879

Thus, we can understand that the LCM of 969,257,619,619,231 is 11869659879.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 257, 619, 619, 231

1. What is the LCM of 969, 257, 619, 619, 231?

Answer: LCM of 969, 257, 619, 619, 231 is 11869659879.

2. How to calculate the LCM of 969, 257, 619, 619, 231?

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 969, 257, 619, 619, 231.

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}.