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LCM of 989, 418, 870, 263, 233

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


Find the LCM of 989, 418, 870, 263, 233 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 989, 418, 870, 263, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,418,870,263,233

Given numbers are 989,418,870,263,233

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

The LCM of 989,418,870,263,233 is 11019794603730.

Find LCM of 989,418,870,263,233 with Prime Factorization


2 989, 418, 870, 263, 233
989, 209, 435, 263, 233

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

2 x 989 x 209 x 435 x 263 x 233 = 11019794603730

Therefore, the lowest common multiple of 989,418,870,263,233 is 11019794603730.

LCM Formula to Find Lowest Common Multiple of 989,418,870,263,233

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.

989 x 418 x 870 x 263 x 233 = 22039589207460

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.

989 : 1, 23, 43, 989

418 : 1, 2, 11, 19, 22, 38, 209, 418

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

263 : 1, 263

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,418,870,263,233, is 1.

Now, the common factors can be found like this.

989:23x 43

418:2x 11x 19

870:2x 3x 5x 29

263:263

233:233

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22039589207460/(1x2)

LCM = 22039589207460/2

LCM = 11019794603730

Thus, we can understand that the LCM of 989,418,870,263,233 is 11019794603730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 418, 870, 263, 233

1. What is the LCM of 989, 418, 870, 263, 233?

Answer: LCM of 989, 418, 870, 263, 233 is 11019794603730.

2. How to calculate the LCM of 989, 418, 870, 263, 233?

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 989, 418, 870, 263, 233.

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}.