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LCM of 571, 901, 212, 344

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


Find the LCM of 571, 901, 212, 344 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 571, 901, 212, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,901,212,344

Given numbers are 571,901,212,344

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

The LCM of 571,901,212,344 is 176978024.

Find LCM of 571,901,212,344 with Prime Factorization


2 571, 901, 212, 344
2 571, 901, 106, 172
53 571, 901, 53, 86
571, 17, 1, 86

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

2 x 2 x 53 x 571 x 17 x 1 x 86 = 176978024

Therefore, the lowest common multiple of 571,901,212,344 is 176978024.

LCM Formula to Find Lowest Common Multiple of 571,901,212,344

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.

571 x 901 x 212 x 344 = 37519341088

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.

571 : 1, 571

901 : 1, 17, 53, 901

212 : 1, 2, 4, 53, 106, 212

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,901,212,344, is 1.

Now, the common factors can be found like this.

571:571

901:17x 53

212:2x 2x 53

344:2x 2x 2x 43

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 53 = 212

Therefore, the value for common factors is 212.

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 = 37519341088/(1x212)

LCM = 37519341088/212

LCM = 176978024

Thus, we can understand that the LCM of 571,901,212,344 is 176978024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 901, 212, 344

1. What is the LCM of 571, 901, 212, 344?

Answer: LCM of 571, 901, 212, 344 is 176978024.

2. How to calculate the LCM of 571, 901, 212, 344?

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 571, 901, 212, 344.

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}.