LCM of 770, 722, 420, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 722, 420, 414 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, 722, 420, 414. So, keep reading to learn more.
Given numbers are 770,722,420,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,722,420,414 is 115079580.
Find LCM of 770,722,420,414 with Prime Factorization
| 2 | 770, 722, 420, 414 |
| 3 | 385, 361, 210, 207 |
| 5 | 385, 361, 70, 69 |
| 7 | 77, 361, 14, 69 |
| 11, 361, 2, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 361 x 2 x 69 = 115079580
Therefore, the lowest common multiple of 770,722,420,414 is 115079580.
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 722 x 420 x 414 = 96666847200
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
722 : 1, 2, 19, 38, 361, 722
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,722,420,414, is 2.
Now, the common factors can be found like this.
770:2x 5x 7x 11
722:2x 19x 19
420:2x 2x 3x 5x 7
414:2x 3x 3x 23
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 96666847200/(2x420)
LCM = 96666847200/840
LCM = 115079580
Thus, we can understand that the LCM of 770,722,420,414 is 115079580.
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FAQs on LCM of 770, 722, 420, 414
1. What is the LCM of 770, 722, 420, 414?
Answer: LCM of 770, 722, 420, 414 is 115079580.
2. How to calculate the LCM of 770, 722, 420, 414?
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, 722, 420, 414.
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}.