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LCM of 831, 253, 368, 689, 233

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


Find the LCM of 831, 253, 368, 689, 233 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 831, 253, 368, 689, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,253,368,689,233

Given numbers are 831,253,368,689,233

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

The LCM of 831,253,368,689,233 is 540028487856.

Find LCM of 831,253,368,689,233 with Prime Factorization


23 831, 253, 368, 689, 233
831, 11, 16, 689, 233

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

23 x 831 x 11 x 16 x 689 x 233 = 540028487856

Therefore, the lowest common multiple of 831,253,368,689,233 is 540028487856.

LCM Formula to Find Lowest Common Multiple of 831,253,368,689,233

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.

831 x 253 x 368 x 689 x 233 = 12420655220688

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.

831 : 1, 3, 277, 831

253 : 1, 11, 23, 253

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

689 : 1, 13, 53, 689

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,253,368,689,233, is 1.

Now, the common factors can be found like this.

831:3x 277

253:11x 23

368:2x 2x 2x 2x 23

689:13x 53

233:233

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

23 = 23

Therefore, the value for common factors is 23.

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 = 12420655220688/(1x23)

LCM = 12420655220688/23

LCM = 540028487856

Thus, we can understand that the LCM of 831,253,368,689,233 is 540028487856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 253, 368, 689, 233

1. What is the LCM of 831, 253, 368, 689, 233?

Answer: LCM of 831, 253, 368, 689, 233 is 540028487856.

2. How to calculate the LCM of 831, 253, 368, 689, 233?

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 831, 253, 368, 689, 233.

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}.