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LCM of 296, 788, 921, 978, 161

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


Find the LCM of 296, 788, 921, 978, 161 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 296, 788, 921, 978, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,788,921,978,161

Given numbers are 296,788,921,978,161

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

The LCM of 296,788,921,978,161 is 1409389552536.

Find LCM of 296,788,921,978,161 with Prime Factorization


2 296, 788, 921, 978, 161
2 148, 394, 921, 489, 161
3 74, 197, 921, 489, 161
74, 197, 307, 163, 161

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

2 x 2 x 3 x 74 x 197 x 307 x 163 x 161 = 1409389552536

Therefore, the lowest common multiple of 296,788,921,978,161 is 1409389552536.

LCM Formula to Find Lowest Common Multiple of 296,788,921,978,161

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.

296 x 788 x 921 x 978 x 161 = 33825349260864

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

788 : 1, 2, 4, 197, 394, 788

921 : 1, 3, 307, 921

978 : 1, 2, 3, 6, 163, 326, 489, 978

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,788,921,978,161, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

788:2x 2x 197

921:3x 307

978:2x 3x 163

161:7x 23

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 33825349260864/(1x24)

LCM = 33825349260864/24

LCM = 1409389552536

Thus, we can understand that the LCM of 296,788,921,978,161 is 1409389552536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 788, 921, 978, 161

1. What is the LCM of 296, 788, 921, 978, 161?

Answer: LCM of 296, 788, 921, 978, 161 is 1409389552536.

2. How to calculate the LCM of 296, 788, 921, 978, 161?

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 296, 788, 921, 978, 161.

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}.