LCM of 407, 703, 429, 998, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 703, 429, 998, 919 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 407, 703, 429, 998, 919. So, keep reading to learn more.
Given numbers are 407,703,429,998,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,703,429,998,919 is 276604136094.
Find LCM of 407,703,429,998,919 with Prime Factorization
| 11 | 407, 703, 429, 998, 919 |
| 37 | 37, 703, 39, 998, 919 |
| 1, 19, 39, 998, 919 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 1 x 19 x 39 x 998 x 919 = 276604136094
Therefore, the lowest common multiple of 407,703,429,998,919 is 276604136094.
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.
407 x 703 x 429 x 998 x 919 = 112577883390258
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.
407 : 1, 11, 37, 407
703 : 1, 19, 37, 703
429 : 1, 3, 11, 13, 33, 39, 143, 429
998 : 1, 2, 499, 998
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,703,429,998,919, is 1.
Now, the common factors can be found like this.
407:11x 37
703:19x 37
429:3x 11x 13
998:2x 499
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 112577883390258/(1x407)
LCM = 112577883390258/407
LCM = 276604136094
Thus, we can understand that the LCM of 407,703,429,998,919 is 276604136094.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 407, 703, 429, 998, 919
1. What is the LCM of 407, 703, 429, 998, 919?
Answer: LCM of 407, 703, 429, 998, 919 is 276604136094.
2. How to calculate the LCM of 407, 703, 429, 998, 919?
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 407, 703, 429, 998, 919.
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}.