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LCM of 824, 163, 964, 449, 930

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


Find the LCM of 824, 163, 964, 449, 930 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 824, 163, 964, 449, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,163,964,449,930

Given numbers are 824,163,964,449,930

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

The LCM of 824,163,964,449,930 is 6758201751720.

Find LCM of 824,163,964,449,930 with Prime Factorization


2 824, 163, 964, 449, 930
2 412, 163, 482, 449, 465
206, 163, 241, 449, 465

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

2 x 2 x 206 x 163 x 241 x 449 x 465 = 6758201751720

Therefore, the lowest common multiple of 824,163,964,449,930 is 6758201751720.

LCM Formula to Find Lowest Common Multiple of 824,163,964,449,930

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.

824 x 163 x 964 x 449 x 930 = 54065614013760

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

163 : 1, 163

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

449 : 1, 449

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,163,964,449,930, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

163:163

964:2x 2x 241

449:449

930:2x 3x 5x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 54065614013760/(1x8)

LCM = 54065614013760/8

LCM = 6758201751720

Thus, we can understand that the LCM of 824,163,964,449,930 is 6758201751720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 163, 964, 449, 930

1. What is the LCM of 824, 163, 964, 449, 930?

Answer: LCM of 824, 163, 964, 449, 930 is 6758201751720.

2. How to calculate the LCM of 824, 163, 964, 449, 930?

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 824, 163, 964, 449, 930.

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}.