LCM of 174, 807, 828, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 807, 828, 667 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 174, 807, 828, 667. So, keep reading to learn more.
Given numbers are 174,807,828,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,807,828,667 is 6459228.
Find LCM of 174,807,828,667 with Prime Factorization
| 2 | 174, 807, 828, 667 |
| 3 | 87, 807, 414, 667 |
| 23 | 29, 269, 138, 667 |
| 29 | 29, 269, 6, 29 |
| 1, 269, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 29 x 1 x 269 x 6 x 1 = 6459228
Therefore, the lowest common multiple of 174,807,828,667 is 6459228.
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.
174 x 807 x 828 x 667 = 77549491368
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
807 : 1, 3, 269, 807
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,807,828,667, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
807:3x 269
828:2x 2x 3x 3x 23
667:23x 29
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 3x 23x 29 = 12006
Therefore, the value for common factors is 12006.
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 = 77549491368/(1x12006)
LCM = 77549491368/12006
LCM = 6459228
Thus, we can understand that the LCM of 174,807,828,667 is 6459228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 174, 807, 828, 667
1. What is the LCM of 174, 807, 828, 667?
Answer: LCM of 174, 807, 828, 667 is 6459228.
2. How to calculate the LCM of 174, 807, 828, 667?
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 174, 807, 828, 667.
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}.