LCM of 138, 151, 706, 150, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 151, 706, 150, 887 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 138, 151, 706, 150, 887. So, keep reading to learn more.
Given numbers are 138,151,706,150,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,151,706,150,887 is 163115175450.
Find LCM of 138,151,706,150,887 with Prime Factorization
| 2 | 138, 151, 706, 150, 887 |
| 3 | 69, 151, 353, 75, 887 |
| 23, 151, 353, 25, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 151 x 353 x 25 x 887 = 163115175450
Therefore, the lowest common multiple of 138,151,706,150,887 is 163115175450.
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.
138 x 151 x 706 x 150 x 887 = 1957382105400
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
151 : 1, 151
706 : 1, 2, 353, 706
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,151,706,150,887, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
151:151
706:2x 353
150:2x 3x 5x 5
887:887
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 3 = 12
Therefore, the value for common factors is 12.
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 = 1957382105400/(1x12)
LCM = 1957382105400/12
LCM = 163115175450
Thus, we can understand that the LCM of 138,151,706,150,887 is 163115175450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 151, 706, 150, 887
1. What is the LCM of 138, 151, 706, 150, 887?
Answer: LCM of 138, 151, 706, 150, 887 is 163115175450.
2. How to calculate the LCM of 138, 151, 706, 150, 887?
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 138, 151, 706, 150, 887.
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}.