LCM of 155, 475, 703, 399, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 475, 703, 399, 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 155, 475, 703, 399, 418. So, keep reading to learn more.
Given numbers are 155,475,703,399,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,475,703,399,418 is 251709150.
Find LCM of 155,475,703,399,418 with Prime Factorization
| 5 | 155, 475, 703, 399, 418 |
| 19 | 31, 95, 703, 399, 418 |
| 31, 5, 37, 21, 22 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 31 x 5 x 37 x 21 x 22 = 251709150
Therefore, the lowest common multiple of 155,475,703,399,418 is 251709150.
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 475 x 703 x 399 x 418 = 8632365299250
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
475 : 1, 5, 19, 25, 95, 475
703 : 1, 19, 37, 703
399 : 1, 3, 7, 19, 21, 57, 133, 399
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 155,475,703,399,418, is 1.
Now, the common factors can be found like this.
155:5x 31
475:5x 5x 19
703:19x 37
399:3x 7x 19
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.
5x 19x 19x 19 = 34295
Therefore, the value for common factors is 34295.
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 = 8632365299250/(1x34295)
LCM = 8632365299250/34295
LCM = 251709150
Thus, we can understand that the LCM of 155,475,703,399,418 is 251709150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 475, 703, 399, 418
1. What is the LCM of 155, 475, 703, 399, 418?
Answer: LCM of 155, 475, 703, 399, 418 is 251709150.
2. How to calculate the LCM of 155, 475, 703, 399, 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 155, 475, 703, 399, 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}.