LCM of 880, 714, 330, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 714, 330, 688 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, 714, 330, 688. So, keep reading to learn more.
Given numbers are 880,714,330,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,714,330,688 is 13508880.
Find LCM of 880,714,330,688 with Prime Factorization
| 2 | 880, 714, 330, 688 |
| 2 | 440, 357, 165, 344 |
| 2 | 220, 357, 165, 172 |
| 2 | 110, 357, 165, 86 |
| 3 | 55, 357, 165, 43 |
| 5 | 55, 119, 55, 43 |
| 11 | 11, 119, 11, 43 |
| 1, 119, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 119 x 1 x 43 = 13508880
Therefore, the lowest common multiple of 880,714,330,688 is 13508880.
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 714 x 330 x 688 = 142653772800
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,714,330,688, is 2.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
714:2x 3x 7x 17
330:2x 3x 5x 11
688:2x 2x 2x 2x 43
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 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 142653772800/(2x5280)
LCM = 142653772800/10560
LCM = 13508880
Thus, we can understand that the LCM of 880,714,330,688 is 13508880.
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FAQs on LCM of 880, 714, 330, 688
1. What is the LCM of 880, 714, 330, 688?
Answer: LCM of 880, 714, 330, 688 is 13508880.
2. How to calculate the LCM of 880, 714, 330, 688?
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, 714, 330, 688.
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}.