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LCM of 221, 357, 680

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


Find the LCM of 221, 357, 680 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 221, 357, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,357,680

Given numbers are 221,357,680

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

The LCM of 221,357,680 is 185640.

Find LCM of 221,357,680 with Prime Factorization


17 221, 357, 680
13, 21, 40

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

17 x 13 x 21 x 40 = 185640

Therefore, the lowest common multiple of 221,357,680 is 185640.

LCM Formula to Find Lowest Common Multiple of 221,357,680

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.

221 x 357 x 680 = 53649960

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.

221 : 1, 13, 17, 221

357 : 1, 3, 7, 17, 21, 51, 119, 357

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,357,680, is 17.

Now, the common factors can be found like this.

221:13x 17

357:3x 7x 17

680:2x 2x 2x 5x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 53649960/(17x17)

LCM = 53649960/289

LCM = 185640

Thus, we can understand that the LCM of 221,357,680 is 185640.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 221, 357, 680

1. What is the LCM of 221, 357, 680?

Answer: LCM of 221, 357, 680 is 185640.

2. How to calculate the LCM of 221, 357, 680?

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 221, 357, 680.

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}.