LCM of 490, 144, 174, 360, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 144, 174, 360, 355 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 490, 144, 174, 360, 355. So, keep reading to learn more.
Given numbers are 490,144,174,360,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,144,174,360,355 is 72641520.
Find LCM of 490,144,174,360,355 with Prime Factorization
| 2 | 490, 144, 174, 360, 355 |
| 2 | 245, 72, 87, 180, 355 |
| 2 | 245, 36, 87, 90, 355 |
| 3 | 245, 18, 87, 45, 355 |
| 3 | 245, 6, 29, 15, 355 |
| 5 | 245, 2, 29, 5, 355 |
| 49, 2, 29, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 49 x 2 x 29 x 1 x 71 = 72641520
Therefore, the lowest common multiple of 490,144,174,360,355 is 72641520.
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.
490 x 144 x 174 x 360 x 355 = 1569056832000
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
174 : 1, 2, 3, 6, 29, 58, 87, 174
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,144,174,360,355, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
144:2x 2x 2x 2x 3x 3
174:2x 3x 29
360:2x 2x 2x 3x 3x 5
355:5x 71
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 2x 2x 2x 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 1569056832000/(1x21600)
LCM = 1569056832000/21600
LCM = 72641520
Thus, we can understand that the LCM of 490,144,174,360,355 is 72641520.
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FAQs on LCM of 490, 144, 174, 360, 355
1. What is the LCM of 490, 144, 174, 360, 355?
Answer: LCM of 490, 144, 174, 360, 355 is 72641520.
2. How to calculate the LCM of 490, 144, 174, 360, 355?
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 490, 144, 174, 360, 355.
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}.