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LCM of 554, 366, 122, 436

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


Find the LCM of 554, 366, 122, 436 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 554, 366, 122, 436. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,366,122,436

Given numbers are 554,366,122,436

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

The LCM of 554,366,122,436 is 22101276.

Find LCM of 554,366,122,436 with Prime Factorization


2 554, 366, 122, 436
61 277, 183, 61, 218
277, 3, 1, 218

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

2 x 61 x 277 x 3 x 1 x 218 = 22101276

Therefore, the lowest common multiple of 554,366,122,436 is 22101276.

LCM Formula to Find Lowest Common Multiple of 554,366,122,436

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.

554 x 366 x 122 x 436 = 10785422688

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.

554 : 1, 2, 277, 554

366 : 1, 2, 3, 6, 61, 122, 183, 366

122 : 1, 2, 61, 122

436 : 1, 2, 4, 109, 218, 436

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,366,122,436, is 2.

Now, the common factors can be found like this.

554:2x 277

366:2x 3x 61

122:2x 61

436:2x 2x 109

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 61 = 244

Therefore, the value for common factors is 244.

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 = 10785422688/(2x244)

LCM = 10785422688/488

LCM = 22101276

Thus, we can understand that the LCM of 554,366,122,436 is 22101276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 366, 122, 436

1. What is the LCM of 554, 366, 122, 436?

Answer: LCM of 554, 366, 122, 436 is 22101276.

2. How to calculate the LCM of 554, 366, 122, 436?

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 554, 366, 122, 436.

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}.