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LCM of 908, 970, 395, 248, 976

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


Find the LCM of 908, 970, 395, 248, 976 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 908, 970, 395, 248, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,970,395,248,976

Given numbers are 908,970,395,248,976

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

The LCM of 908,970,395,248,976 is 263151711280.

Find LCM of 908,970,395,248,976 with Prime Factorization


2 908, 970, 395, 248, 976
2 454, 485, 395, 124, 488
2 227, 485, 395, 62, 244
5 227, 485, 395, 31, 122
227, 97, 79, 31, 122

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

2 x 2 x 2 x 5 x 227 x 97 x 79 x 31 x 122 = 263151711280

Therefore, the lowest common multiple of 908,970,395,248,976 is 263151711280.

LCM Formula to Find Lowest Common Multiple of 908,970,395,248,976

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.

908 x 970 x 395 x 248 x 976 = 84208547609600

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.

908 : 1, 2, 4, 227, 454, 908

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

395 : 1, 5, 79, 395

248 : 1, 2, 4, 8, 31, 62, 124, 248

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,970,395,248,976, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

970:2x 5x 97

395:5x 79

248:2x 2x 2x 31

976:2x 2x 2x 2x 61

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 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 84208547609600/(1x320)

LCM = 84208547609600/320

LCM = 263151711280

Thus, we can understand that the LCM of 908,970,395,248,976 is 263151711280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 970, 395, 248, 976

1. What is the LCM of 908, 970, 395, 248, 976?

Answer: LCM of 908, 970, 395, 248, 976 is 263151711280.

2. How to calculate the LCM of 908, 970, 395, 248, 976?

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 908, 970, 395, 248, 976.

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}.