LCM of 678, 507, 113, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 507, 113, 403 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 678, 507, 113, 403. So, keep reading to learn more.
Given numbers are 678,507,113,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,507,113,403 is 3552042.
Find LCM of 678,507,113,403 with Prime Factorization
| 3 | 678, 507, 113, 403 |
| 13 | 226, 169, 113, 403 |
| 113 | 226, 13, 113, 31 |
| 2, 13, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 113 x 2 x 13 x 1 x 31 = 3552042
Therefore, the lowest common multiple of 678,507,113,403 is 3552042.
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.
678 x 507 x 113 x 403 = 15653849094
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
507 : 1, 3, 13, 39, 169, 507
113 : 1, 113
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,507,113,403, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
507:3x 13x 13
113:113
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 113 = 4407
Therefore, the value for common factors is 4407.
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 = 15653849094/(1x4407)
LCM = 15653849094/4407
LCM = 3552042
Thus, we can understand that the LCM of 678,507,113,403 is 3552042.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 507, 113, 403
1. What is the LCM of 678, 507, 113, 403?
Answer: LCM of 678, 507, 113, 403 is 3552042.
2. How to calculate the LCM of 678, 507, 113, 403?
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 678, 507, 113, 403.
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}.