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LCM of 986, 238, 469, 828

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


Find the LCM of 986, 238, 469, 828 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, 238, 469, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,238,469,828

Given numbers are 986,238,469,828

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

The LCM of 986,238,469,828 is 191447676.

Find LCM of 986,238,469,828 with Prime Factorization


2 986, 238, 469, 828
7 493, 119, 469, 414
17 493, 17, 67, 414
29, 1, 67, 414

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

2 x 7 x 17 x 29 x 1 x 67 x 414 = 191447676

Therefore, the lowest common multiple of 986,238,469,828 is 191447676.

LCM Formula to Find Lowest Common Multiple of 986,238,469,828

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 238 x 469 x 828 = 91129093776

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

469 : 1, 7, 67, 469

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,238,469,828, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

238:2x 7x 17

469:7x 67

828:2x 2x 3x 3x 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 17 = 476

Therefore, the value for common factors is 476.

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 = 91129093776/(1x476)

LCM = 91129093776/476

LCM = 191447676

Thus, we can understand that the LCM of 986,238,469,828 is 191447676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 238, 469, 828

1. What is the LCM of 986, 238, 469, 828?

Answer: LCM of 986, 238, 469, 828 is 191447676.

2. How to calculate the LCM of 986, 238, 469, 828?

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, 238, 469, 828.

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}.