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LCM of 910, 660, 357, 240, 889

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


Find the LCM of 910, 660, 357, 240, 889 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, 660, 357, 240, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,660,357,240,889

Given numbers are 910,660,357,240,889

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

The LCM of 910,660,357,240,889 is 518678160.

Find LCM of 910,660,357,240,889 with Prime Factorization


2 910, 660, 357, 240, 889
2 455, 330, 357, 120, 889
3 455, 165, 357, 60, 889
5 455, 55, 119, 20, 889
7 91, 11, 119, 4, 889
13, 11, 17, 4, 127

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

2 x 2 x 3 x 5 x 7 x 13 x 11 x 17 x 4 x 127 = 518678160

Therefore, the lowest common multiple of 910,660,357,240,889 is 518678160.

LCM Formula to Find Lowest Common Multiple of 910,660,357,240,889

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 660 x 357 x 240 x 889 = 45747413712000

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,660,357,240,889, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

660:2x 2x 3x 5x 11

357:3x 7x 17

240:2x 2x 2x 2x 3x 5

889:7x 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 2x 2x 3x 3x 5x 5x 7x 7 = 88200

Therefore, the value for common factors is 88200.

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 = 45747413712000/(1x88200)

LCM = 45747413712000/88200

LCM = 518678160

Thus, we can understand that the LCM of 910,660,357,240,889 is 518678160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 660, 357, 240, 889

1. What is the LCM of 910, 660, 357, 240, 889?

Answer: LCM of 910, 660, 357, 240, 889 is 518678160.

2. How to calculate the LCM of 910, 660, 357, 240, 889?

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, 660, 357, 240, 889.

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}.