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LCM of 253, 681, 211, 966, 321

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


Find the LCM of 253, 681, 211, 966, 321 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 253, 681, 211, 966, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,681,211,966,321

Given numbers are 253,681,211,966,321

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

The LCM of 253,681,211,966,321 is 54458026854.

Find LCM of 253,681,211,966,321 with Prime Factorization


3 253, 681, 211, 966, 321
23 253, 227, 211, 322, 107
11, 227, 211, 14, 107

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

3 x 23 x 11 x 227 x 211 x 14 x 107 = 54458026854

Therefore, the lowest common multiple of 253,681,211,966,321 is 54458026854.

LCM Formula to Find Lowest Common Multiple of 253,681,211,966,321

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.

253 x 681 x 211 x 966 x 321 = 11272811558778

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.

253 : 1, 11, 23, 253

681 : 1, 3, 227, 681

211 : 1, 211

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,681,211,966,321, is 1.

Now, the common factors can be found like this.

253:11x 23

681:3x 227

211:211

966:2x 3x 7x 23

321:3x 107

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 11272811558778/(1x207)

LCM = 11272811558778/207

LCM = 54458026854

Thus, we can understand that the LCM of 253,681,211,966,321 is 54458026854.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 681, 211, 966, 321

1. What is the LCM of 253, 681, 211, 966, 321?

Answer: LCM of 253, 681, 211, 966, 321 is 54458026854.

2. How to calculate the LCM of 253, 681, 211, 966, 321?

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 253, 681, 211, 966, 321.

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}.