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LCM of 986, 442, 238, 113

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


Find the LCM of 986, 442, 238, 113 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, 442, 238, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,442,238,113

Given numbers are 986,442,238,113

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

The LCM of 986,442,238,113 is 10139038.

Find LCM of 986,442,238,113 with Prime Factorization


2 986, 442, 238, 113
17 493, 221, 119, 113
29, 13, 7, 113

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

2 x 17 x 29 x 13 x 7 x 113 = 10139038

Therefore, the lowest common multiple of 986,442,238,113 is 10139038.

LCM Formula to Find Lowest Common Multiple of 986,442,238,113

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 442 x 238 x 113 = 11720727928

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,442,238,113, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

442:2x 13x 17

238:2x 7x 17

113:113

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 11720727928/(1x1156)

LCM = 11720727928/1156

LCM = 10139038

Thus, we can understand that the LCM of 986,442,238,113 is 10139038.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 442, 238, 113

1. What is the LCM of 986, 442, 238, 113?

Answer: LCM of 986, 442, 238, 113 is 10139038.

2. How to calculate the LCM of 986, 442, 238, 113?

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, 442, 238, 113.

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}.