LCM of 360, 880, 546, 749, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 880, 546, 749, 287 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 360, 880, 546, 749, 287. So, keep reading to learn more.
Given numbers are 360,880,546,749,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,880,546,749,287 is 3161798640.
Find LCM of 360,880,546,749,287 with Prime Factorization
| 2 | 360, 880, 546, 749, 287 |
| 2 | 180, 440, 273, 749, 287 |
| 2 | 90, 220, 273, 749, 287 |
| 3 | 45, 110, 273, 749, 287 |
| 5 | 15, 110, 91, 749, 287 |
| 7 | 3, 22, 91, 749, 287 |
| 3, 22, 13, 107, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 3 x 22 x 13 x 107 x 41 = 3161798640
Therefore, the lowest common multiple of 360,880,546,749,287 is 3161798640.
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.
360 x 880 x 546 x 749 x 287 = 37182752006400
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.
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
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
749 : 1, 7, 107, 749
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,880,546,749,287, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
880:2x 2x 2x 2x 5x 11
546:2x 3x 7x 13
749:7x 107
287:7x 41
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 3x 5x 7x 7 = 11760
Therefore, the value for common factors is 11760.
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 = 37182752006400/(1x11760)
LCM = 37182752006400/11760
LCM = 3161798640
Thus, we can understand that the LCM of 360,880,546,749,287 is 3161798640.
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FAQs on LCM of 360, 880, 546, 749, 287
1. What is the LCM of 360, 880, 546, 749, 287?
Answer: LCM of 360, 880, 546, 749, 287 is 3161798640.
2. How to calculate the LCM of 360, 880, 546, 749, 287?
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 360, 880, 546, 749, 287.
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}.