LCM of 722, 177, 849, 551, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 177, 849, 551, 613 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, 177, 849, 551, 613. So, keep reading to learn more.
Given numbers are 722,177,849,551,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,177,849,551,613 is 642917684454.
Find LCM of 722,177,849,551,613 with Prime Factorization
| 3 | 722, 177, 849, 551, 613 |
| 19 | 722, 59, 283, 551, 613 |
| 38, 59, 283, 29, 613 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 38 x 59 x 283 x 29 x 613 = 642917684454
Therefore, the lowest common multiple of 722,177,849,551,613 is 642917684454.
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 177 x 849 x 551 x 613 = 36646308013878
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
177 : 1, 3, 59, 177
849 : 1, 3, 283, 849
551 : 1, 19, 29, 551
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,177,849,551,613, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
177:3x 59
849:3x 283
551:19x 29
613:613
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 36646308013878/(1x57)
LCM = 36646308013878/57
LCM = 642917684454
Thus, we can understand that the LCM of 722,177,849,551,613 is 642917684454.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 177, 849, 551, 613
1. What is the LCM of 722, 177, 849, 551, 613?
Answer: LCM of 722, 177, 849, 551, 613 is 642917684454.
2. How to calculate the LCM of 722, 177, 849, 551, 613?
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, 177, 849, 551, 613.
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}.