LCM of 700, 132, 897, 440, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 132, 897, 440, 262 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 700, 132, 897, 440, 262. So, keep reading to learn more.
Given numbers are 700,132,897,440,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,132,897,440,262 is 1809607800.
Find LCM of 700,132,897,440,262 with Prime Factorization
| 2 | 700, 132, 897, 440, 262 |
| 2 | 350, 66, 897, 220, 131 |
| 3 | 175, 33, 897, 110, 131 |
| 5 | 175, 11, 299, 110, 131 |
| 11 | 35, 11, 299, 22, 131 |
| 35, 1, 299, 2, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 35 x 1 x 299 x 2 x 131 = 1809607800
Therefore, the lowest common multiple of 700,132,897,440,262 is 1809607800.
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.
700 x 132 x 897 x 440 x 262 = 9554729184000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
897 : 1, 3, 13, 23, 39, 69, 299, 897
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,132,897,440,262, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
132:2x 2x 3x 11
897:3x 13x 23
440:2x 2x 2x 5x 11
262:2x 131
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 = 9554729184000/(1x5280)
LCM = 9554729184000/5280
LCM = 1809607800
Thus, we can understand that the LCM of 700,132,897,440,262 is 1809607800.
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FAQs on LCM of 700, 132, 897, 440, 262
1. What is the LCM of 700, 132, 897, 440, 262?
Answer: LCM of 700, 132, 897, 440, 262 is 1809607800.
2. How to calculate the LCM of 700, 132, 897, 440, 262?
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 700, 132, 897, 440, 262.
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}.