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LCM of 506, 455, 661, 724

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


Find the LCM of 506, 455, 661, 724 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 506, 455, 661, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,455,661,724

Given numbers are 506,455,661,724

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

The LCM of 506,455,661,724 is 55089894860.

Find LCM of 506,455,661,724 with Prime Factorization


2 506, 455, 661, 724
253, 455, 661, 362

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

2 x 253 x 455 x 661 x 362 = 55089894860

Therefore, the lowest common multiple of 506,455,661,724 is 55089894860.

LCM Formula to Find Lowest Common Multiple of 506,455,661,724

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.

506 x 455 x 661 x 724 = 110179789720

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

455 : 1, 5, 7, 13, 35, 65, 91, 455

661 : 1, 661

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,455,661,724, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

455:5x 7x 13

661:661

724:2x 2x 181

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 = 110179789720/(1x2)

LCM = 110179789720/2

LCM = 55089894860

Thus, we can understand that the LCM of 506,455,661,724 is 55089894860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 455, 661, 724

1. What is the LCM of 506, 455, 661, 724?

Answer: LCM of 506, 455, 661, 724 is 55089894860.

2. How to calculate the LCM of 506, 455, 661, 724?

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 506, 455, 661, 724.

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}.