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LCM of 910, 454, 123, 490, 221

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


Find the LCM of 910, 454, 123, 490, 221 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 910, 454, 123, 490, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,454,123,490,221

Given numbers are 910,454,123,490,221

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

The LCM of 910,454,123,490,221 is 3023565090.

Find LCM of 910,454,123,490,221 with Prime Factorization


2 910, 454, 123, 490, 221
5 455, 227, 123, 245, 221
7 91, 227, 123, 49, 221
13 13, 227, 123, 7, 221
1, 227, 123, 7, 17

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

2 x 5 x 7 x 13 x 1 x 227 x 123 x 7 x 17 = 3023565090

Therefore, the lowest common multiple of 910,454,123,490,221 is 3023565090.

LCM Formula to Find Lowest Common Multiple of 910,454,123,490,221

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.

910 x 454 x 123 x 490 x 221 = 5502888463800

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

454 : 1, 2, 227, 454

123 : 1, 3, 41, 123

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

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,454,123,490,221, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

454:2x 227

123:3x 41

490:2x 5x 7x 7

221:13x 17

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 5x 7x 13 = 1820

Therefore, the value for common factors is 1820.

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 = 5502888463800/(1x1820)

LCM = 5502888463800/1820

LCM = 3023565090

Thus, we can understand that the LCM of 910,454,123,490,221 is 3023565090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 454, 123, 490, 221

1. What is the LCM of 910, 454, 123, 490, 221?

Answer: LCM of 910, 454, 123, 490, 221 is 3023565090.

2. How to calculate the LCM of 910, 454, 123, 490, 221?

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 910, 454, 123, 490, 221.

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}.