LCM of 189, 119, 372, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 119, 372, 167 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 189, 119, 372, 167. So, keep reading to learn more.
Given numbers are 189,119,372,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,119,372,167 is 66534804.
Find LCM of 189,119,372,167 with Prime Factorization
| 3 | 189, 119, 372, 167 |
| 7 | 63, 119, 124, 167 |
| 9, 17, 124, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 9 x 17 x 124 x 167 = 66534804
Therefore, the lowest common multiple of 189,119,372,167 is 66534804.
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.
189 x 119 x 372 x 167 = 1397230884
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
119 : 1, 7, 17, 119
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,119,372,167, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
119:7x 17
372:2x 2x 3x 31
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 1397230884/(1x21)
LCM = 1397230884/21
LCM = 66534804
Thus, we can understand that the LCM of 189,119,372,167 is 66534804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 189, 119, 372, 167
1. What is the LCM of 189, 119, 372, 167?
Answer: LCM of 189, 119, 372, 167 is 66534804.
2. How to calculate the LCM of 189, 119, 372, 167?
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 189, 119, 372, 167.
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}.