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LCM of 221, 968, 361, 772, 127

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


Find the LCM of 221, 968, 361, 772, 127 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, 968, 361, 772, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,968,361,772,127

Given numbers are 221,968,361,772,127

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

The LCM of 221,968,361,772,127 is 1892935704088.

Find LCM of 221,968,361,772,127 with Prime Factorization


2 221, 968, 361, 772, 127
2 221, 484, 361, 386, 127
221, 242, 361, 193, 127

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

2 x 2 x 221 x 242 x 361 x 193 x 127 = 1892935704088

Therefore, the lowest common multiple of 221,968,361,772,127 is 1892935704088.

LCM Formula to Find Lowest Common Multiple of 221,968,361,772,127

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 968 x 361 x 772 x 127 = 7571742816352

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

361 : 1, 19, 361

772 : 1, 2, 4, 193, 386, 772

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,968,361,772,127, is 1.

Now, the common factors can be found like this.

221:13x 17

968:2x 2x 2x 11x 11

361:19x 19

772:2x 2x 193

127:127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7571742816352/(1x4)

LCM = 7571742816352/4

LCM = 1892935704088

Thus, we can understand that the LCM of 221,968,361,772,127 is 1892935704088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 968, 361, 772, 127

1. What is the LCM of 221, 968, 361, 772, 127?

Answer: LCM of 221, 968, 361, 772, 127 is 1892935704088.

2. How to calculate the LCM of 221, 968, 361, 772, 127?

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, 968, 361, 772, 127.

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}.