LCM of 335, 603, 348, 174, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 603, 348, 174, 942 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 335, 603, 348, 174, 942. So, keep reading to learn more.
Given numbers are 335,603,348,174,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,603,348,174,942 is 54909180.
Find LCM of 335,603,348,174,942 with Prime Factorization
| 2 | 335, 603, 348, 174, 942 |
| 3 | 335, 603, 174, 87, 471 |
| 29 | 335, 201, 58, 29, 157 |
| 67 | 335, 201, 2, 1, 157 |
| 5, 3, 2, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 67 x 5 x 3 x 2 x 1 x 157 = 54909180
Therefore, the lowest common multiple of 335,603,348,174,942 is 54909180.
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.
335 x 603 x 348 x 174 x 942 = 11522361967920
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.
335 : 1, 5, 67, 335
603 : 1, 3, 9, 67, 201, 603
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
174 : 1, 2, 3, 6, 29, 58, 87, 174
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,603,348,174,942, is 1.
Now, the common factors can be found like this.
335:5x 67
603:3x 3x 67
348:2x 2x 3x 29
174:2x 3x 29
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 29x 67 = 209844
Therefore, the value for common factors is 209844.
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 = 11522361967920/(1x209844)
LCM = 11522361967920/209844
LCM = 54909180
Thus, we can understand that the LCM of 335,603,348,174,942 is 54909180.
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FAQs on LCM of 335, 603, 348, 174, 942
1. What is the LCM of 335, 603, 348, 174, 942?
Answer: LCM of 335, 603, 348, 174, 942 is 54909180.
2. How to calculate the LCM of 335, 603, 348, 174, 942?
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 335, 603, 348, 174, 942.
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}.