LCM of 770, 245, 546, 360, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 245, 546, 360, 140 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 770, 245, 546, 360, 140. So, keep reading to learn more.
Given numbers are 770,245,546,360,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,245,546,360,140 is 2522520.
Find LCM of 770,245,546,360,140 with Prime Factorization
| 2 | 770, 245, 546, 360, 140 |
| 2 | 385, 245, 273, 180, 70 |
| 3 | 385, 245, 273, 90, 35 |
| 5 | 385, 245, 91, 30, 35 |
| 7 | 77, 49, 91, 6, 7 |
| 11, 1, 13, 6, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 1 x 13 x 6 x 7 = 2522520
Therefore, the lowest common multiple of 770,245,546,360,140 is 2522520.
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.
770 x 245 x 546 x 360 x 140 = 5191346160000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
245 : 1, 5, 7, 35, 49, 245
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,245,546,360,140, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
245:5x 7x 7
546:2x 3x 7x 13
360:2x 2x 2x 3x 3x 5
140:2x 2x 5x 7
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 3x 5x 5x 5x 7x 7x 7 = 2058000
Therefore, the value for common factors is 2058000.
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 = 5191346160000/(1x2058000)
LCM = 5191346160000/2058000
LCM = 2522520
Thus, we can understand that the LCM of 770,245,546,360,140 is 2522520.
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FAQs on LCM of 770, 245, 546, 360, 140
1. What is the LCM of 770, 245, 546, 360, 140?
Answer: LCM of 770, 245, 546, 360, 140 is 2522520.
2. How to calculate the LCM of 770, 245, 546, 360, 140?
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 770, 245, 546, 360, 140.
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}.