LCM of 379, 675, 172, 767, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 675, 172, 767, 138 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 379, 675, 172, 767, 138. So, keep reading to learn more.
Given numbers are 379,675,172,767,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,675,172,767,138 is 776237517900.
Find LCM of 379,675,172,767,138 with Prime Factorization
| 2 | 379, 675, 172, 767, 138 |
| 3 | 379, 675, 86, 767, 69 |
| 379, 225, 86, 767, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 379 x 225 x 86 x 767 x 23 = 776237517900
Therefore, the lowest common multiple of 379,675,172,767,138 is 776237517900.
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.
379 x 675 x 172 x 767 x 138 = 4657425107400
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.
379 : 1, 379
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
172 : 1, 2, 4, 43, 86, 172
767 : 1, 13, 59, 767
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,675,172,767,138, is 1.
Now, the common factors can be found like this.
379:379
675:3x 3x 3x 5x 5
172:2x 2x 43
767:13x 59
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 4657425107400/(1x6)
LCM = 4657425107400/6
LCM = 776237517900
Thus, we can understand that the LCM of 379,675,172,767,138 is 776237517900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 675, 172, 767, 138
1. What is the LCM of 379, 675, 172, 767, 138?
Answer: LCM of 379, 675, 172, 767, 138 is 776237517900.
2. How to calculate the LCM of 379, 675, 172, 767, 138?
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 379, 675, 172, 767, 138.
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}.