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LCM of 964, 797, 464, 344, 488

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


Find the LCM of 964, 797, 464, 344, 488 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 964, 797, 464, 344, 488. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,797,464,344,488

Given numbers are 964,797,464,344,488

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

The LCM of 964,797,464,344,488 is 233771538544.

Find LCM of 964,797,464,344,488 with Prime Factorization


2 964, 797, 464, 344, 488
2 482, 797, 232, 172, 244
2 241, 797, 116, 86, 122
241, 797, 58, 43, 61

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

2 x 2 x 2 x 241 x 797 x 58 x 43 x 61 = 233771538544

Therefore, the lowest common multiple of 964,797,464,344,488 is 233771538544.

LCM Formula to Find Lowest Common Multiple of 964,797,464,344,488

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.

964 x 797 x 464 x 344 x 488 = 59845513867264

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.

964 : 1, 2, 4, 241, 482, 964

797 : 1, 797

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,797,464,344,488, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

797:797

464:2x 2x 2x 2x 29

344:2x 2x 2x 43

488:2x 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 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 59845513867264/(1x256)

LCM = 59845513867264/256

LCM = 233771538544

Thus, we can understand that the LCM of 964,797,464,344,488 is 233771538544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 797, 464, 344, 488

1. What is the LCM of 964, 797, 464, 344, 488?

Answer: LCM of 964, 797, 464, 344, 488 is 233771538544.

2. How to calculate the LCM of 964, 797, 464, 344, 488?

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 964, 797, 464, 344, 488.

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}.