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LCM of 523, 757, 458, 722

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


Find the LCM of 523, 757, 458, 722 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 523, 757, 458, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,757,458,722

Given numbers are 523,757,458,722

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

The LCM of 523,757,458,722 is 65459132918.

Find LCM of 523,757,458,722 with Prime Factorization


2 523, 757, 458, 722
523, 757, 229, 361

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

2 x 523 x 757 x 229 x 361 = 65459132918

Therefore, the lowest common multiple of 523,757,458,722 is 65459132918.

LCM Formula to Find Lowest Common Multiple of 523,757,458,722

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.

523 x 757 x 458 x 722 = 130918265836

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.

523 : 1, 523

757 : 1, 757

458 : 1, 2, 229, 458

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,757,458,722, is 1.

Now, the common factors can be found like this.

523:523

757:757

458:2x 229

722:2x 19x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 130918265836/(1x2)

LCM = 130918265836/2

LCM = 65459132918

Thus, we can understand that the LCM of 523,757,458,722 is 65459132918.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 757, 458, 722

1. What is the LCM of 523, 757, 458, 722?

Answer: LCM of 523, 757, 458, 722 is 65459132918.

2. How to calculate the LCM of 523, 757, 458, 722?

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 523, 757, 458, 722.

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}.