Find the LCM of 429, 931, 358, 998, 630 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 429, 931, 358, 998, 630. So, keep reading to learn more.
Given numbers are 429,931,358,998,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,931,358,998,630 is 1070241542370.
Find LCM of 429,931,358,998,630 with Prime Factorization
2 | 429, 931, 358, 998, 630 |
3 | 429, 931, 179, 499, 315 |
7 | 143, 931, 179, 499, 105 |
143, 133, 179, 499, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 143 x 133 x 179 x 499 x 15 = 1070241542370
Therefore, the lowest common multiple of 429,931,358,998,630 is 1070241542370.
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.
429 x 931 x 358 x 998 x 630 = 89900289559080
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
931 : 1, 7, 19, 49, 133, 931
358 : 1, 2, 179, 358
998 : 1, 2, 499, 998
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,931,358,998,630, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
931:7x 7x 19
358:2x 179
998:2x 499
630:2x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 89900289559080/(1x84)
LCM = 89900289559080/84
LCM = 1070241542370
Thus, we can understand that the LCM of 429,931,358,998,630 is 1070241542370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 931, 358, 998, 630?
Answer: LCM of 429, 931, 358, 998, 630 is 1070241542370.
2. How to calculate the LCM of 429, 931, 358, 998, 630?
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 429, 931, 358, 998, 630.
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}.