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LCM of 986, 987, 866, 435

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


Find the LCM of 986, 987, 866, 435 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 986, 987, 866, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,987,866,435

Given numbers are 986,987,866,435

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

The LCM of 986,987,866,435 is 2106939030.

Find LCM of 986,987,866,435 with Prime Factorization


2 986, 987, 866, 435
3 493, 987, 433, 435
29 493, 329, 433, 145
17, 329, 433, 5

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

2 x 3 x 29 x 17 x 329 x 433 x 5 = 2106939030

Therefore, the lowest common multiple of 986,987,866,435 is 2106939030.

LCM Formula to Find Lowest Common Multiple of 986,987,866,435

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.

986 x 987 x 866 x 435 = 366607391220

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.

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

987 : 1, 3, 7, 21, 47, 141, 329, 987

866 : 1, 2, 433, 866

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,987,866,435, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

987:3x 7x 47

866:2x 433

435:3x 5x 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 29 = 174

Therefore, the value for common factors is 174.

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 = 366607391220/(1x174)

LCM = 366607391220/174

LCM = 2106939030

Thus, we can understand that the LCM of 986,987,866,435 is 2106939030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 987, 866, 435

1. What is the LCM of 986, 987, 866, 435?

Answer: LCM of 986, 987, 866, 435 is 2106939030.

2. How to calculate the LCM of 986, 987, 866, 435?

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 986, 987, 866, 435.

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}.