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LCM of 114, 699, 663, 986

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


Find the LCM of 114, 699, 663, 986 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 114, 699, 663, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,699,663,986

Given numbers are 114,699,663,986

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

The LCM of 114,699,663,986 is 170235858.

Find LCM of 114,699,663,986 with Prime Factorization


2 114, 699, 663, 986
3 57, 699, 663, 493
17 19, 233, 221, 493
19, 233, 13, 29

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

2 x 3 x 17 x 19 x 233 x 13 x 29 = 170235858

Therefore, the lowest common multiple of 114,699,663,986 is 170235858.

LCM Formula to Find Lowest Common Multiple of 114,699,663,986

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.

114 x 699 x 663 x 986 = 52092172548

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

699 : 1, 3, 233, 699

663 : 1, 3, 13, 17, 39, 51, 221, 663

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,699,663,986, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

699:3x 233

663:3x 13x 17

986:2x 17x 29

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 52092172548/(1x306)

LCM = 52092172548/306

LCM = 170235858

Thus, we can understand that the LCM of 114,699,663,986 is 170235858.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 699, 663, 986

1. What is the LCM of 114, 699, 663, 986?

Answer: LCM of 114, 699, 663, 986 is 170235858.

2. How to calculate the LCM of 114, 699, 663, 986?

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 114, 699, 663, 986.

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}.