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LCM of 492, 351, 906, 962, 884

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


Find the LCM of 492, 351, 906, 962, 884 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 492, 351, 906, 962, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,351,906,962,884

Given numbers are 492,351,906,962,884

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

The LCM of 492,351,906,962,884 is 5467371156.

Find LCM of 492,351,906,962,884 with Prime Factorization


2 492, 351, 906, 962, 884
2 246, 351, 453, 481, 442
3 123, 351, 453, 481, 221
13 41, 117, 151, 481, 221
41, 9, 151, 37, 17

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

2 x 2 x 3 x 13 x 41 x 9 x 151 x 37 x 17 = 5467371156

Therefore, the lowest common multiple of 492,351,906,962,884 is 5467371156.

LCM Formula to Find Lowest Common Multiple of 492,351,906,962,884

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.

492 x 351 x 906 x 962 x 884 = 133053944452416

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

351 : 1, 3, 9, 13, 27, 39, 117, 351

906 : 1, 2, 3, 6, 151, 302, 453, 906

962 : 1, 2, 13, 26, 37, 74, 481, 962

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,351,906,962,884, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

351:3x 3x 3x 13

906:2x 3x 151

962:2x 13x 37

884:2x 2x 13x 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 2x 2x 2x 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 133053944452416/(1x24336)

LCM = 133053944452416/24336

LCM = 5467371156

Thus, we can understand that the LCM of 492,351,906,962,884 is 5467371156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 351, 906, 962, 884

1. What is the LCM of 492, 351, 906, 962, 884?

Answer: LCM of 492, 351, 906, 962, 884 is 5467371156.

2. How to calculate the LCM of 492, 351, 906, 962, 884?

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 492, 351, 906, 962, 884.

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}.