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LCM of 358, 554, 385, 548

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


Find the LCM of 358, 554, 385, 548 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 358, 554, 385, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,554,385,548

Given numbers are 358,554,385,548

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

The LCM of 358,554,385,548 is 10461021340.

Find LCM of 358,554,385,548 with Prime Factorization


2 358, 554, 385, 548
179, 277, 385, 274

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

2 x 179 x 277 x 385 x 274 = 10461021340

Therefore, the lowest common multiple of 358,554,385,548 is 10461021340.

LCM Formula to Find Lowest Common Multiple of 358,554,385,548

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.

358 x 554 x 385 x 548 = 41844085360

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.

358 : 1, 2, 179, 358

554 : 1, 2, 277, 554

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,554,385,548, is 1.

Now, the common factors can be found like this.

358:2x 179

554:2x 277

385:5x 7x 11

548:2x 2x 137

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41844085360/(1x4)

LCM = 41844085360/4

LCM = 10461021340

Thus, we can understand that the LCM of 358,554,385,548 is 10461021340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 554, 385, 548

1. What is the LCM of 358, 554, 385, 548?

Answer: LCM of 358, 554, 385, 548 is 10461021340.

2. How to calculate the LCM of 358, 554, 385, 548?

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 358, 554, 385, 548.

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}.