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LCM of 543, 427, 939, 434, 354

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


Find the LCM of 543, 427, 939, 434, 354 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 543, 427, 939, 434, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,427,939,434,354

Given numbers are 543,427,939,434,354

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

The LCM of 543,427,939,434,354 is 265470179394.

Find LCM of 543,427,939,434,354 with Prime Factorization


2 543, 427, 939, 434, 354
3 543, 427, 939, 217, 177
7 181, 427, 313, 217, 59
181, 61, 313, 31, 59

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

2 x 3 x 7 x 181 x 61 x 313 x 31 x 59 = 265470179394

Therefore, the lowest common multiple of 543,427,939,434,354 is 265470179394.

LCM Formula to Find Lowest Common Multiple of 543,427,939,434,354

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.

543 x 427 x 939 x 434 x 354 = 33449242603644

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.

543 : 1, 3, 181, 543

427 : 1, 7, 61, 427

939 : 1, 3, 313, 939

434 : 1, 2, 7, 14, 31, 62, 217, 434

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,427,939,434,354, is 1.

Now, the common factors can be found like this.

543:3x 181

427:7x 61

939:3x 313

434:2x 7x 31

354:2x 3x 59

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 33449242603644/(1x126)

LCM = 33449242603644/126

LCM = 265470179394

Thus, we can understand that the LCM of 543,427,939,434,354 is 265470179394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 427, 939, 434, 354

1. What is the LCM of 543, 427, 939, 434, 354?

Answer: LCM of 543, 427, 939, 434, 354 is 265470179394.

2. How to calculate the LCM of 543, 427, 939, 434, 354?

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 543, 427, 939, 434, 354.

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}.