LCM of 689, 224, 420, 178, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 224, 420, 178, 905 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 689, 224, 420, 178, 905. So, keep reading to learn more.
Given numbers are 689,224,420,178,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,224,420,178,905 is 37292979360.
Find LCM of 689,224,420,178,905 with Prime Factorization
| 2 | 689, 224, 420, 178, 905 |
| 2 | 689, 112, 210, 89, 905 |
| 5 | 689, 56, 105, 89, 905 |
| 7 | 689, 56, 21, 89, 181 |
| 689, 8, 3, 89, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 689 x 8 x 3 x 89 x 181 = 37292979360
Therefore, the lowest common multiple of 689,224,420,178,905 is 37292979360.
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.
689 x 224 x 420 x 178 x 905 = 10442034220800
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.
689 : 1, 13, 53, 689
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
178 : 1, 2, 89, 178
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,224,420,178,905, is 1.
Now, the common factors can be found like this.
689:13x 53
224:2x 2x 2x 2x 2x 7
420:2x 2x 3x 5x 7
178:2x 89
905:5x 181
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 10442034220800/(1x280)
LCM = 10442034220800/280
LCM = 37292979360
Thus, we can understand that the LCM of 689,224,420,178,905 is 37292979360.
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FAQs on LCM of 689, 224, 420, 178, 905
1. What is the LCM of 689, 224, 420, 178, 905?
Answer: LCM of 689, 224, 420, 178, 905 is 37292979360.
2. How to calculate the LCM of 689, 224, 420, 178, 905?
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 689, 224, 420, 178, 905.
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}.