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LCM of 986, 189, 230, 644

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


Find the LCM of 986, 189, 230, 644 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, 189, 230, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,189,230,644

Given numbers are 986,189,230,644

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

The LCM of 986,189,230,644 is 42861420.

Find LCM of 986,189,230,644 with Prime Factorization


2 986, 189, 230, 644
7 493, 189, 115, 322
23 493, 27, 115, 46
493, 27, 5, 2

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

2 x 7 x 23 x 493 x 27 x 5 x 2 = 42861420

Therefore, the lowest common multiple of 986,189,230,644 is 42861420.

LCM Formula to Find Lowest Common Multiple of 986,189,230,644

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 189 x 230 x 644 = 27602754480

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

230 : 1, 2, 5, 10, 23, 46, 115, 230

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,189,230,644, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

189:3x 3x 3x 7

230:2x 5x 23

644:2x 2x 7x 23

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 7x 23 = 644

Therefore, the value for common factors is 644.

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 = 27602754480/(1x644)

LCM = 27602754480/644

LCM = 42861420

Thus, we can understand that the LCM of 986,189,230,644 is 42861420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 189, 230, 644

1. What is the LCM of 986, 189, 230, 644?

Answer: LCM of 986, 189, 230, 644 is 42861420.

2. How to calculate the LCM of 986, 189, 230, 644?

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, 189, 230, 644.

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}.