LCM of 220, 649, 275, 770, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 649, 275, 770, 608 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 220, 649, 275, 770, 608. So, keep reading to learn more.
Given numbers are 220,649,275,770,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,649,275,770,608 is 69053600.
Find LCM of 220,649,275,770,608 with Prime Factorization
| 2 | 220, 649, 275, 770, 608 |
| 2 | 110, 649, 275, 385, 304 |
| 5 | 55, 649, 275, 385, 152 |
| 11 | 11, 649, 55, 77, 152 |
| 1, 59, 5, 7, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 59 x 5 x 7 x 152 = 69053600
Therefore, the lowest common multiple of 220,649,275,770,608 is 69053600.
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.
220 x 649 x 275 x 770 x 608 = 18382068320000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
649 : 1, 11, 59, 649
275 : 1, 5, 11, 25, 55, 275
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,649,275,770,608, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
649:11x 59
275:5x 5x 11
770:2x 5x 7x 11
608:2x 2x 2x 2x 2x 19
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 5x 11x 11x 11 = 266200
Therefore, the value for common factors is 266200.
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 = 18382068320000/(1x266200)
LCM = 18382068320000/266200
LCM = 69053600
Thus, we can understand that the LCM of 220,649,275,770,608 is 69053600.
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FAQs on LCM of 220, 649, 275, 770, 608
1. What is the LCM of 220, 649, 275, 770, 608?
Answer: LCM of 220, 649, 275, 770, 608 is 69053600.
2. How to calculate the LCM of 220, 649, 275, 770, 608?
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 220, 649, 275, 770, 608.
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}.