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LCM of 453, 548, 411, 279

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


Find the LCM of 453, 548, 411, 279 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, 548, 411, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,548,411,279

Given numbers are 453,548,411,279

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

The LCM of 453,548,411,279 is 23086692.

Find LCM of 453,548,411,279 with Prime Factorization


3 453, 548, 411, 279
137 151, 548, 137, 93
151, 4, 1, 93

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

3 x 137 x 151 x 4 x 1 x 93 = 23086692

Therefore, the lowest common multiple of 453,548,411,279 is 23086692.

LCM Formula to Find Lowest Common Multiple of 453,548,411,279

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 548 x 411 x 279 = 28465891236

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

548 : 1, 2, 4, 137, 274, 548

411 : 1, 3, 137, 411

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,548,411,279, is 1.

Now, the common factors can be found like this.

453:3x 151

548:2x 2x 137

411:3x 137

279:3x 3x 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 137 = 1233

Therefore, the value for common factors is 1233.

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 = 28465891236/(1x1233)

LCM = 28465891236/1233

LCM = 23086692

Thus, we can understand that the LCM of 453,548,411,279 is 23086692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 548, 411, 279

1. What is the LCM of 453, 548, 411, 279?

Answer: LCM of 453, 548, 411, 279 is 23086692.

2. How to calculate the LCM of 453, 548, 411, 279?

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, 548, 411, 279.

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}.