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LCM of 254, 443, 322, 946, 831

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


Find the LCM of 254, 443, 322, 946, 831 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 254, 443, 322, 946, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,443,322,946,831

Given numbers are 254,443,322,946,831

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

The LCM of 254,443,322,946,831 is 7120745816646.

Find LCM of 254,443,322,946,831 with Prime Factorization


2 254, 443, 322, 946, 831
127, 443, 161, 473, 831

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

2 x 127 x 443 x 161 x 473 x 831 = 7120745816646

Therefore, the lowest common multiple of 254,443,322,946,831 is 7120745816646.

LCM Formula to Find Lowest Common Multiple of 254,443,322,946,831

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.

254 x 443 x 322 x 946 x 831 = 28482983266584

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.

254 : 1, 2, 127, 254

443 : 1, 443

322 : 1, 2, 7, 14, 23, 46, 161, 322

946 : 1, 2, 11, 22, 43, 86, 473, 946

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,443,322,946,831, is 1.

Now, the common factors can be found like this.

254:2x 127

443:443

322:2x 7x 23

946:2x 11x 43

831:3x 277

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28482983266584/(1x4)

LCM = 28482983266584/4

LCM = 7120745816646

Thus, we can understand that the LCM of 254,443,322,946,831 is 7120745816646.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 443, 322, 946, 831

1. What is the LCM of 254, 443, 322, 946, 831?

Answer: LCM of 254, 443, 322, 946, 831 is 7120745816646.

2. How to calculate the LCM of 254, 443, 322, 946, 831?

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 254, 443, 322, 946, 831.

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}.