LCM of 251, 308, 167, 281, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 308, 167, 281, 119 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 251, 308, 167, 281, 119. So, keep reading to learn more.
Given numbers are 251,308,167,281,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,308,167,281,119 is 61673152772.
Find LCM of 251,308,167,281,119 with Prime Factorization
| 7 | 251, 308, 167, 281, 119 |
| 251, 44, 167, 281, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 251 x 44 x 167 x 281 x 17 = 61673152772
Therefore, the lowest common multiple of 251,308,167,281,119 is 61673152772.
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.
251 x 308 x 167 x 281 x 119 = 431712069404
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.
251 : 1, 251
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
167 : 1, 167
281 : 1, 281
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,308,167,281,119, is 1.
Now, the common factors can be found like this.
251:251
308:2x 2x 7x 11
167:167
281:281
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 431712069404/(1x7)
LCM = 431712069404/7
LCM = 61673152772
Thus, we can understand that the LCM of 251,308,167,281,119 is 61673152772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 308, 167, 281, 119
1. What is the LCM of 251, 308, 167, 281, 119?
Answer: LCM of 251, 308, 167, 281, 119 is 61673152772.
2. How to calculate the LCM of 251, 308, 167, 281, 119?
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 251, 308, 167, 281, 119.
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}.