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LCM of 656, 667, 398, 597, 490

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


Find the LCM of 656, 667, 398, 597, 490 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 656, 667, 398, 597, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,667,398,597,490

Given numbers are 656,667,398,597,490

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

The LCM of 656,667,398,597,490 is 63998543280.

Find LCM of 656,667,398,597,490 with Prime Factorization


2 656, 667, 398, 597, 490
199 328, 667, 199, 597, 245
328, 667, 1, 3, 245

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

2 x 199 x 328 x 667 x 1 x 3 x 245 = 63998543280

Therefore, the lowest common multiple of 656,667,398,597,490 is 63998543280.

LCM Formula to Find Lowest Common Multiple of 656,667,398,597,490

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.

656 x 667 x 398 x 597 x 490 = 50942840450880

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

667 : 1, 23, 29, 667

398 : 1, 2, 199, 398

597 : 1, 3, 199, 597

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,667,398,597,490, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

667:23x 29

398:2x 199

597:3x 199

490:2x 5x 7x 7

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 199 = 796

Therefore, the value for common factors is 796.

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 = 50942840450880/(1x796)

LCM = 50942840450880/796

LCM = 63998543280

Thus, we can understand that the LCM of 656,667,398,597,490 is 63998543280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 667, 398, 597, 490

1. What is the LCM of 656, 667, 398, 597, 490?

Answer: LCM of 656, 667, 398, 597, 490 is 63998543280.

2. How to calculate the LCM of 656, 667, 398, 597, 490?

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 656, 667, 398, 597, 490.

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}.