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LCM of 221, 754, 289, 682

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


Find the LCM of 221, 754, 289, 682 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, 754, 289, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,754,289,682

Given numbers are 221,754,289,682

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

The LCM of 221,754,289,682 is 74305946.

Find LCM of 221,754,289,682 with Prime Factorization


2 221, 754, 289, 682
13 221, 377, 289, 341
17 17, 29, 289, 341
1, 29, 17, 341

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

2 x 13 x 17 x 1 x 29 x 17 x 341 = 74305946

Therefore, the lowest common multiple of 221,754,289,682 is 74305946.

LCM Formula to Find Lowest Common Multiple of 221,754,289,682

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 754 x 289 x 682 = 32843228132

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

289 : 1, 17, 289

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,754,289,682, is 1.

Now, the common factors can be found like this.

221:13x 17

754:2x 13x 29

289:17x 17

682:2x 11x 31

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 32843228132/(1x442)

LCM = 32843228132/442

LCM = 74305946

Thus, we can understand that the LCM of 221,754,289,682 is 74305946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 754, 289, 682

1. What is the LCM of 221, 754, 289, 682?

Answer: LCM of 221, 754, 289, 682 is 74305946.

2. How to calculate the LCM of 221, 754, 289, 682?

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, 754, 289, 682.

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}.