LCM of 722, 916, 340, 380, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 916, 340, 380, 770 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 722, 916, 340, 380, 770. So, keep reading to learn more.
Given numbers are 722,916,340,380,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,916,340,380,770 is 2164274420.
Find LCM of 722,916,340,380,770 with Prime Factorization
| 2 | 722, 916, 340, 380, 770 |
| 2 | 361, 458, 170, 190, 385 |
| 5 | 361, 229, 85, 95, 385 |
| 19 | 361, 229, 17, 19, 77 |
| 1, 229, 17, 19, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 1 x 229 x 17 x 19 x 77 = 2164274420
Therefore, the lowest common multiple of 722,916,340,380,770 is 2164274420.
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.
722 x 916 x 340 x 380 x 770 = 65793942368000
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.
722 : 1, 2, 19, 38, 361, 722
916 : 1, 2, 4, 229, 458, 916
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,916,340,380,770, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
916:2x 2x 229
340:2x 2x 5x 17
380:2x 2x 5x 19
770:2x 5x 7x 11
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 5x 5x 19 = 15200
Therefore, the value for common factors is 15200.
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 = 65793942368000/(2x15200)
LCM = 65793942368000/30400
LCM = 2164274420
Thus, we can understand that the LCM of 722,916,340,380,770 is 2164274420.
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FAQs on LCM of 722, 916, 340, 380, 770
1. What is the LCM of 722, 916, 340, 380, 770?
Answer: LCM of 722, 916, 340, 380, 770 is 2164274420.
2. How to calculate the LCM of 722, 916, 340, 380, 770?
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 722, 916, 340, 380, 770.
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}.