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LCM of 548, 605, 385, 454

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


Find the LCM of 548, 605, 385, 454 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 548, 605, 385, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,605,385,454

Given numbers are 548,605,385,454

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

The LCM of 548,605,385,454 is 526817060.

Find LCM of 548,605,385,454 with Prime Factorization


2 548, 605, 385, 454
5 274, 605, 385, 227
11 274, 121, 77, 227
274, 11, 7, 227

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

2 x 5 x 11 x 274 x 11 x 7 x 227 = 526817060

Therefore, the lowest common multiple of 548,605,385,454 is 526817060.

LCM Formula to Find Lowest Common Multiple of 548,605,385,454

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.

548 x 605 x 385 x 454 = 57949876600

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.

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

605 : 1, 5, 11, 55, 121, 605

385 : 1, 5, 7, 11, 35, 55, 77, 385

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,605,385,454, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

605:5x 11x 11

385:5x 7x 11

454:2x 227

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 57949876600/(1x110)

LCM = 57949876600/110

LCM = 526817060

Thus, we can understand that the LCM of 548,605,385,454 is 526817060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 605, 385, 454

1. What is the LCM of 548, 605, 385, 454?

Answer: LCM of 548, 605, 385, 454 is 526817060.

2. How to calculate the LCM of 548, 605, 385, 454?

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 548, 605, 385, 454.

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}.