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LCM of 597, 952, 881, 816

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


Find the LCM of 597, 952, 881, 816 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, 952, 881, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,952,881,816

Given numbers are 597,952,881,816

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

The LCM of 597,952,881,816 is 1001422128.

Find LCM of 597,952,881,816 with Prime Factorization


2 597, 952, 881, 816
2 597, 476, 881, 408
2 597, 238, 881, 204
3 597, 119, 881, 102
17 199, 119, 881, 34
199, 7, 881, 2

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

2 x 2 x 2 x 3 x 17 x 199 x 7 x 881 x 2 = 1001422128

Therefore, the lowest common multiple of 597,952,881,816 is 1001422128.

LCM Formula to Find Lowest Common Multiple of 597,952,881,816

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 952 x 881 x 816 = 408580228224

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

881 : 1, 881

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,952,881,816, is 1.

Now, the common factors can be found like this.

597:3x 199

952:2x 2x 2x 7x 17

881:881

816:2x 2x 2x 2x 3x 17

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 17 = 408

Therefore, the value for common factors is 408.

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 = 408580228224/(1x408)

LCM = 408580228224/408

LCM = 1001422128

Thus, we can understand that the LCM of 597,952,881,816 is 1001422128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 952, 881, 816

1. What is the LCM of 597, 952, 881, 816?

Answer: LCM of 597, 952, 881, 816 is 1001422128.

2. How to calculate the LCM of 597, 952, 881, 816?

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, 952, 881, 816.

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}.