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LCM of 884, 260, 597, 726

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


Find the LCM of 884, 260, 597, 726 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 884, 260, 597, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,260,597,726

Given numbers are 884,260,597,726

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

The LCM of 884,260,597,726 is 319287540.

Find LCM of 884,260,597,726 with Prime Factorization


2 884, 260, 597, 726
2 442, 130, 597, 363
3 221, 65, 597, 363
13 221, 65, 199, 121
17, 5, 199, 121

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

2 x 2 x 3 x 13 x 17 x 5 x 199 x 121 = 319287540

Therefore, the lowest common multiple of 884,260,597,726 is 319287540.

LCM Formula to Find Lowest Common Multiple of 884,260,597,726

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.

884 x 260 x 597 x 726 = 99617712480

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

597 : 1, 3, 199, 597

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,260,597,726, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

260:2x 2x 5x 13

597:3x 199

726:2x 3x 11x 11

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 99617712480/(1x312)

LCM = 99617712480/312

LCM = 319287540

Thus, we can understand that the LCM of 884,260,597,726 is 319287540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 260, 597, 726

1. What is the LCM of 884, 260, 597, 726?

Answer: LCM of 884, 260, 597, 726 is 319287540.

2. How to calculate the LCM of 884, 260, 597, 726?

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 884, 260, 597, 726.

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}.