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LCM of 453, 772, 453, 108

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


Find the LCM of 453, 772, 453, 108 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, 772, 453, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,772,453,108

Given numbers are 453,772,453,108

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

The LCM of 453,772,453,108 is 3147444.

Find LCM of 453,772,453,108 with Prime Factorization


2 453, 772, 453, 108
2 453, 386, 453, 54
3 453, 193, 453, 27
151 151, 193, 151, 9
1, 193, 1, 9

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

2 x 2 x 3 x 151 x 1 x 193 x 1 x 9 = 3147444

Therefore, the lowest common multiple of 453,772,453,108 is 3147444.

LCM Formula to Find Lowest Common Multiple of 453,772,453,108

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 772 x 453 x 108 = 17109505584

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

772 : 1, 2, 4, 193, 386, 772

453 : 1, 3, 151, 453

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,772,453,108, is 1.

Now, the common factors can be found like this.

453:3x 151

772:2x 2x 193

453:3x 151

108:2x 2x 3x 3x 3

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 3x 3x 151 = 5436

Therefore, the value for common factors is 5436.

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 = 17109505584/(1x5436)

LCM = 17109505584/5436

LCM = 3147444

Thus, we can understand that the LCM of 453,772,453,108 is 3147444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 772, 453, 108

1. What is the LCM of 453, 772, 453, 108?

Answer: LCM of 453, 772, 453, 108 is 3147444.

2. How to calculate the LCM of 453, 772, 453, 108?

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, 772, 453, 108.

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}.