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LCM of 113, 611, 342, 874, 996

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


Find the LCM of 113, 611, 342, 874, 996 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 113, 611, 342, 874, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,611,342,874,996

Given numbers are 113,611,342,874,996

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

The LCM of 113,611,342,874,996 is 90153311508.

Find LCM of 113,611,342,874,996 with Prime Factorization


2 113, 611, 342, 874, 996
3 113, 611, 171, 437, 498
19 113, 611, 57, 437, 166
113, 611, 3, 23, 166

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

2 x 3 x 19 x 113 x 611 x 3 x 23 x 166 = 90153311508

Therefore, the lowest common multiple of 113,611,342,874,996 is 90153311508.

LCM Formula to Find Lowest Common Multiple of 113,611,342,874,996

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.

113 x 611 x 342 x 874 x 996 = 20554955023824

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.

113 : 1, 113

611 : 1, 13, 47, 611

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

874 : 1, 2, 19, 23, 38, 46, 437, 874

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,611,342,874,996, is 1.

Now, the common factors can be found like this.

113:113

611:13x 47

342:2x 3x 3x 19

874:2x 19x 23

996:2x 2x 3x 83

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 20554955023824/(1x228)

LCM = 20554955023824/228

LCM = 90153311508

Thus, we can understand that the LCM of 113,611,342,874,996 is 90153311508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 611, 342, 874, 996

1. What is the LCM of 113, 611, 342, 874, 996?

Answer: LCM of 113, 611, 342, 874, 996 is 90153311508.

2. How to calculate the LCM of 113, 611, 342, 874, 996?

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 113, 611, 342, 874, 996.

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}.