LCM of 290, 680, 551, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 680, 551, 722 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 290, 680, 551, 722. So, keep reading to learn more.
Given numbers are 290,680,551,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,680,551,722 is 7118920.
Find LCM of 290,680,551,722 with Prime Factorization
| 2 | 290, 680, 551, 722 |
| 5 | 145, 340, 551, 361 |
| 19 | 29, 68, 551, 361 |
| 29 | 29, 68, 29, 19 |
| 1, 68, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 29 x 1 x 68 x 1 x 19 = 7118920
Therefore, the lowest common multiple of 290,680,551,722 is 7118920.
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.
290 x 680 x 551 x 722 = 78450498400
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
551 : 1, 19, 29, 551
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,680,551,722, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
680:2x 2x 2x 5x 17
551:19x 29
722:2x 19x 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 5x 19x 29 = 11020
Therefore, the value for common factors is 11020.
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 = 78450498400/(1x11020)
LCM = 78450498400/11020
LCM = 7118920
Thus, we can understand that the LCM of 290,680,551,722 is 7118920.
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FAQs on LCM of 290, 680, 551, 722
1. What is the LCM of 290, 680, 551, 722?
Answer: LCM of 290, 680, 551, 722 is 7118920.
2. How to calculate the LCM of 290, 680, 551, 722?
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 290, 680, 551, 722.
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}.