Find the LCM of 478, 867, 336, 678, 742 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 478, 867, 336, 678, 742. So, keep reading to learn more.
Given numbers are 478,867,336,678,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,867,336,678,742 is 138991849584.
Find LCM of 478,867,336,678,742 with Prime Factorization
2 | 478, 867, 336, 678, 742 |
3 | 239, 867, 168, 339, 371 |
7 | 239, 289, 56, 113, 371 |
239, 289, 8, 113, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 239 x 289 x 8 x 113 x 53 = 138991849584
Therefore, the lowest common multiple of 478,867,336,678,742 is 138991849584.
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.
478 x 867 x 336 x 678 x 742 = 70051892190336
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.
478 : 1, 2, 239, 478
867 : 1, 3, 17, 51, 289, 867
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
678 : 1, 2, 3, 6, 113, 226, 339, 678
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,867,336,678,742, is 1.
Now, the common factors can be found like this.
478:2x 239
867:3x 17x 17
336:2x 2x 2x 2x 3x 7
678:2x 3x 113
742:2x 7x 53
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 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 70051892190336/(1x504)
LCM = 70051892190336/504
LCM = 138991849584
Thus, we can understand that the LCM of 478,867,336,678,742 is 138991849584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 867, 336, 678, 742?
Answer: LCM of 478, 867, 336, 678, 742 is 138991849584.
2. How to calculate the LCM of 478, 867, 336, 678, 742?
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 478, 867, 336, 678, 742.
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}.