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LCM of 557, 555, 722, 381, 149

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


Find the LCM of 557, 555, 722, 381, 149 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 557, 555, 722, 381, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,555,722,381,149

Given numbers are 557,555,722,381,149

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

The LCM of 557,555,722,381,149 is 4223527878810.

Find LCM of 557,555,722,381,149 with Prime Factorization


3 557, 555, 722, 381, 149
557, 185, 722, 127, 149

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

3 x 557 x 185 x 722 x 127 x 149 = 4223527878810

Therefore, the lowest common multiple of 557,555,722,381,149 is 4223527878810.

LCM Formula to Find Lowest Common Multiple of 557,555,722,381,149

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.

557 x 555 x 722 x 381 x 149 = 12670583636430

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.

557 : 1, 557

555 : 1, 3, 5, 15, 37, 111, 185, 555

722 : 1, 2, 19, 38, 361, 722

381 : 1, 3, 127, 381

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,555,722,381,149, is 1.

Now, the common factors can be found like this.

557:557

555:3x 5x 37

722:2x 19x 19

381:3x 127

149:149

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

3 = 3

Therefore, the value for common factors is 3.

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 = 12670583636430/(1x3)

LCM = 12670583636430/3

LCM = 4223527878810

Thus, we can understand that the LCM of 557,555,722,381,149 is 4223527878810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 555, 722, 381, 149

1. What is the LCM of 557, 555, 722, 381, 149?

Answer: LCM of 557, 555, 722, 381, 149 is 4223527878810.

2. How to calculate the LCM of 557, 555, 722, 381, 149?

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 557, 555, 722, 381, 149.

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}.