LCM of 173, 174, 551, 358, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 174, 551, 358, 589 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 173, 174, 551, 358, 589. So, keep reading to learn more.
Given numbers are 173,174,551,358,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,174,551,358,589 is 3173683962.
Find LCM of 173,174,551,358,589 with Prime Factorization
| 2 | 173, 174, 551, 358, 589 |
| 19 | 173, 87, 551, 179, 589 |
| 29 | 173, 87, 29, 179, 31 |
| 173, 3, 1, 179, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 29 x 173 x 3 x 1 x 179 x 31 = 3173683962
Therefore, the lowest common multiple of 173,174,551,358,589 is 3173683962.
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.
173 x 174 x 551 x 358 x 589 = 3497399726124
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.
173 : 1, 173
174 : 1, 2, 3, 6, 29, 58, 87, 174
551 : 1, 19, 29, 551
358 : 1, 2, 179, 358
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,174,551,358,589, is 1.
Now, the common factors can be found like this.
173:173
174:2x 3x 29
551:19x 29
358:2x 179
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 29 = 1102
Therefore, the value for common factors is 1102.
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 = 3497399726124/(1x1102)
LCM = 3497399726124/1102
LCM = 3173683962
Thus, we can understand that the LCM of 173,174,551,358,589 is 3173683962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 174, 551, 358, 589
1. What is the LCM of 173, 174, 551, 358, 589?
Answer: LCM of 173, 174, 551, 358, 589 is 3173683962.
2. How to calculate the LCM of 173, 174, 551, 358, 589?
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 173, 174, 551, 358, 589.
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}.