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LCM of 453, 831, 151, 594, 465

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


Find the LCM of 453, 831, 151, 594, 465 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 453, 831, 151, 594, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,831,151,594,465

Given numbers are 453,831,151,594,465

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

The LCM of 453,831,151,594,465 is 3851011890.

Find LCM of 453,831,151,594,465 with Prime Factorization


3 453, 831, 151, 594, 465
151 151, 277, 151, 198, 155
1, 277, 1, 198, 155

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

3 x 151 x 1 x 277 x 1 x 198 x 155 = 3851011890

Therefore, the lowest common multiple of 453,831,151,594,465 is 3851011890.

LCM Formula to Find Lowest Common Multiple of 453,831,151,594,465

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.

453 x 831 x 151 x 594 x 465 = 15700575475530

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.

453 : 1, 3, 151, 453

831 : 1, 3, 277, 831

151 : 1, 151

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,831,151,594,465, is 1.

Now, the common factors can be found like this.

453:3x 151

831:3x 277

151:151

594:2x 3x 3x 3x 11

465:3x 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.

3x 3x 3x 151 = 4077

Therefore, the value for common factors is 4077.

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 = 15700575475530/(1x4077)

LCM = 15700575475530/4077

LCM = 3851011890

Thus, we can understand that the LCM of 453,831,151,594,465 is 3851011890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 831, 151, 594, 465

1. What is the LCM of 453, 831, 151, 594, 465?

Answer: LCM of 453, 831, 151, 594, 465 is 3851011890.

2. How to calculate the LCM of 453, 831, 151, 594, 465?

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 453, 831, 151, 594, 465.

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}.