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LCM of 123, 320, 970, 289

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


Find the LCM of 123, 320, 970, 289 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 123, 320, 970, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,320,970,289

Given numbers are 123,320,970,289

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

The LCM of 123,320,970,289 is 1103378880.

Find LCM of 123,320,970,289 with Prime Factorization


2 123, 320, 970, 289
5 123, 160, 485, 289
123, 32, 97, 289

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

2 x 5 x 123 x 32 x 97 x 289 = 1103378880

Therefore, the lowest common multiple of 123,320,970,289 is 1103378880.

LCM Formula to Find Lowest Common Multiple of 123,320,970,289

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.

123 x 320 x 970 x 289 = 11033788800

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.

123 : 1, 3, 41, 123

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

970 : 1, 2, 5, 10, 97, 194, 485, 970

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,320,970,289, is 1.

Now, the common factors can be found like this.

123:3x 41

320:2x 2x 2x 2x 2x 2x 5

970:2x 5x 97

289:17x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 11033788800/(1x10)

LCM = 11033788800/10

LCM = 1103378880

Thus, we can understand that the LCM of 123,320,970,289 is 1103378880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 320, 970, 289

1. What is the LCM of 123, 320, 970, 289?

Answer: LCM of 123, 320, 970, 289 is 1103378880.

2. How to calculate the LCM of 123, 320, 970, 289?

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 123, 320, 970, 289.

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}.