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LCM of 597, 363, 681, 242, 888

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


Find the LCM of 597, 363, 681, 242, 888 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 597, 363, 681, 242, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,363,681,242,888

Given numbers are 597,363,681,242,888

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

The LCM of 597,363,681,242,888 is 4853748504.

Find LCM of 597,363,681,242,888 with Prime Factorization


2 597, 363, 681, 242, 888
3 597, 363, 681, 121, 444
11 199, 121, 227, 121, 148
11 199, 11, 227, 11, 148
199, 1, 227, 1, 148

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

2 x 3 x 11 x 11 x 199 x 1 x 227 x 1 x 148 = 4853748504

Therefore, the lowest common multiple of 597,363,681,242,888 is 4853748504.

LCM Formula to Find Lowest Common Multiple of 597,363,681,242,888

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.

597 x 363 x 681 x 242 x 888 = 31714392725136

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.

597 : 1, 3, 199, 597

363 : 1, 3, 11, 33, 121, 363

681 : 1, 3, 227, 681

242 : 1, 2, 11, 22, 121, 242

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,363,681,242,888, is 1.

Now, the common factors can be found like this.

597:3x 199

363:3x 11x 11

681:3x 227

242:2x 11x 11

888:2x 2x 2x 3x 37

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

2x 3x 3x 3x 11x 11 = 6534

Therefore, the value for common factors is 6534.

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 = 31714392725136/(1x6534)

LCM = 31714392725136/6534

LCM = 4853748504

Thus, we can understand that the LCM of 597,363,681,242,888 is 4853748504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 363, 681, 242, 888

1. What is the LCM of 597, 363, 681, 242, 888?

Answer: LCM of 597, 363, 681, 242, 888 is 4853748504.

2. How to calculate the LCM of 597, 363, 681, 242, 888?

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 597, 363, 681, 242, 888.

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}.