LCM of 603, 145, 726, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 145, 726, 174 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 603, 145, 726, 174. So, keep reading to learn more.
Given numbers are 603,145,726,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,145,726,174 is 21159270.
Find LCM of 603,145,726,174 with Prime Factorization
| 2 | 603, 145, 726, 174 |
| 3 | 603, 145, 363, 87 |
| 29 | 201, 145, 121, 29 |
| 201, 5, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 201 x 5 x 121 x 1 = 21159270
Therefore, the lowest common multiple of 603,145,726,174 is 21159270.
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.
603 x 145 x 726 x 174 = 11045138940
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.
603 : 1, 3, 9, 67, 201, 603
145 : 1, 5, 29, 145
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,145,726,174, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
145:5x 29
726:2x 3x 11x 11
174:2x 3x 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 29 = 522
Therefore, the value for common factors is 522.
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 = 11045138940/(1x522)
LCM = 11045138940/522
LCM = 21159270
Thus, we can understand that the LCM of 603,145,726,174 is 21159270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 603, 145, 726, 174
1. What is the LCM of 603, 145, 726, 174?
Answer: LCM of 603, 145, 726, 174 is 21159270.
2. How to calculate the LCM of 603, 145, 726, 174?
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 603, 145, 726, 174.
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}.