LCM of 155, 403, 279, 377, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 403, 279, 377, 818 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 155, 403, 279, 377, 818. So, keep reading to learn more.
Given numbers are 155,403,279,377,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,403,279,377,818 is 430198470.
Find LCM of 155,403,279,377,818 with Prime Factorization
| 13 | 155, 403, 279, 377, 818 |
| 31 | 155, 31, 279, 29, 818 |
| 5, 1, 9, 29, 818 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 5 x 1 x 9 x 29 x 818 = 430198470
Therefore, the lowest common multiple of 155,403,279,377,818 is 430198470.
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.
155 x 403 x 279 x 377 x 818 = 5374469485710
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.
155 : 1, 5, 31, 155
403 : 1, 13, 31, 403
279 : 1, 3, 9, 31, 93, 279
377 : 1, 13, 29, 377
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,403,279,377,818, is 1.
Now, the common factors can be found like this.
155:5x 31
403:13x 31
279:3x 3x 31
377:13x 29
818:2x 409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 31x 31 = 12493
Therefore, the value for common factors is 12493.
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 = 5374469485710/(1x12493)
LCM = 5374469485710/12493
LCM = 430198470
Thus, we can understand that the LCM of 155,403,279,377,818 is 430198470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 403, 279, 377, 818
1. What is the LCM of 155, 403, 279, 377, 818?
Answer: LCM of 155, 403, 279, 377, 818 is 430198470.
2. How to calculate the LCM of 155, 403, 279, 377, 818?
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 155, 403, 279, 377, 818.
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}.