LCM of 877, 722, 627, 986, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 722, 627, 986, 429 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 877, 722, 627, 986, 429. So, keep reading to learn more.
Given numbers are 877,722,627,986,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,722,627,986,429 is 133918631418.
Find LCM of 877,722,627,986,429 with Prime Factorization
| 2 | 877, 722, 627, 986, 429 |
| 3 | 877, 361, 627, 493, 429 |
| 11 | 877, 361, 209, 493, 143 |
| 19 | 877, 361, 19, 493, 13 |
| 877, 1, 19, 493, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 877 x 1 x 19 x 493 x 13 = 133918631418
Therefore, the lowest common multiple of 877,722,627,986,429 is 133918631418.
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.
877 x 722 x 627 x 986 x 429 = 167933963798172
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.
877 : 1, 877
722 : 1, 2, 19, 38, 361, 722
627 : 1, 3, 11, 19, 33, 57, 209, 627
986 : 1, 2, 17, 29, 34, 58, 493, 986
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,722,627,986,429, is 1.
Now, the common factors can be found like this.
877:877
722:2x 19x 19
627:3x 11x 19
986:2x 17x 29
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 167933963798172/(1x1254)
LCM = 167933963798172/1254
LCM = 133918631418
Thus, we can understand that the LCM of 877,722,627,986,429 is 133918631418.
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FAQs on LCM of 877, 722, 627, 986, 429
1. What is the LCM of 877, 722, 627, 986, 429?
Answer: LCM of 877, 722, 627, 986, 429 is 133918631418.
2. How to calculate the LCM of 877, 722, 627, 986, 429?
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 877, 722, 627, 986, 429.
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}.