LCM of 118, 851, 138, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 851, 138, 111 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 118, 851, 138, 111. So, keep reading to learn more.
Given numbers are 118,851,138,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,851,138,111 is 301254.
Find LCM of 118,851,138,111 with Prime Factorization
| 2 | 118, 851, 138, 111 |
| 3 | 59, 851, 69, 111 |
| 23 | 59, 851, 23, 37 |
| 37 | 59, 37, 1, 37 |
| 59, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 37 x 59 x 1 x 1 x 1 = 301254
Therefore, the lowest common multiple of 118,851,138,111 is 301254.
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.
118 x 851 x 138 x 111 = 1538202924
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.
118 : 1, 2, 59, 118
851 : 1, 23, 37, 851
138 : 1, 2, 3, 6, 23, 46, 69, 138
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,851,138,111, is 1.
Now, the common factors can be found like this.
118:2x 59
851:23x 37
138:2x 3x 23
111:3x 37
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 23x 37 = 5106
Therefore, the value for common factors is 5106.
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 = 1538202924/(1x5106)
LCM = 1538202924/5106
LCM = 301254
Thus, we can understand that the LCM of 118,851,138,111 is 301254.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 851, 138, 111
1. What is the LCM of 118, 851, 138, 111?
Answer: LCM of 118, 851, 138, 111 is 301254.
2. How to calculate the LCM of 118, 851, 138, 111?
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 118, 851, 138, 111.
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}.