LCM of 843, 627, 542, 925, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 627, 542, 925, 418 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 843, 627, 542, 925, 418. So, keep reading to learn more.
Given numbers are 843,627,542,925,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,627,542,925,418 is 88331352450.
Find LCM of 843,627,542,925,418 with Prime Factorization
| 2 | 843, 627, 542, 925, 418 |
| 3 | 843, 627, 271, 925, 209 |
| 11 | 281, 209, 271, 925, 209 |
| 19 | 281, 19, 271, 925, 19 |
| 281, 1, 271, 925, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 281 x 1 x 271 x 925 x 1 = 88331352450
Therefore, the lowest common multiple of 843,627,542,925,418 is 88331352450.
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.
843 x 627 x 542 x 925 x 418 = 110767515972300
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.
843 : 1, 3, 281, 843
627 : 1, 3, 11, 19, 33, 57, 209, 627
542 : 1, 2, 271, 542
925 : 1, 5, 25, 37, 185, 925
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,627,542,925,418, is 1.
Now, the common factors can be found like this.
843:3x 281
627:3x 11x 19
542:2x 271
925:5x 5x 37
418:2x 11x 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 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 = 110767515972300/(1x1254)
LCM = 110767515972300/1254
LCM = 88331352450
Thus, we can understand that the LCM of 843,627,542,925,418 is 88331352450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 843, 627, 542, 925, 418
1. What is the LCM of 843, 627, 542, 925, 418?
Answer: LCM of 843, 627, 542, 925, 418 is 88331352450.
2. How to calculate the LCM of 843, 627, 542, 925, 418?
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 843, 627, 542, 925, 418.
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}.