LCM of 880, 110, 403, 632, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 110, 403, 632, 705 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 880, 110, 403, 632, 705. So, keep reading to learn more.
Given numbers are 880,110,403,632,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,110,403,632,705 is 3950334960.
Find LCM of 880,110,403,632,705 with Prime Factorization
| 2 | 880, 110, 403, 632, 705 |
| 2 | 440, 55, 403, 316, 705 |
| 2 | 220, 55, 403, 158, 705 |
| 5 | 110, 55, 403, 79, 705 |
| 11 | 22, 11, 403, 79, 141 |
| 2, 1, 403, 79, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 2 x 1 x 403 x 79 x 141 = 3950334960
Therefore, the lowest common multiple of 880,110,403,632,705 is 3950334960.
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.
880 x 110 x 403 x 632 x 705 = 17381473824000
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
110 : 1, 2, 5, 10, 11, 22, 55, 110
403 : 1, 13, 31, 403
632 : 1, 2, 4, 8, 79, 158, 316, 632
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,110,403,632,705, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
110:2x 5x 11
403:13x 31
632:2x 2x 2x 79
705:3x 5x 47
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 5x 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 17381473824000/(1x4400)
LCM = 17381473824000/4400
LCM = 3950334960
Thus, we can understand that the LCM of 880,110,403,632,705 is 3950334960.
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FAQs on LCM of 880, 110, 403, 632, 705
1. What is the LCM of 880, 110, 403, 632, 705?
Answer: LCM of 880, 110, 403, 632, 705 is 3950334960.
2. How to calculate the LCM of 880, 110, 403, 632, 705?
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 880, 110, 403, 632, 705.
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}.