LCM of 678, 548, 312, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 548, 312, 628 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, 548, 312, 628. So, keep reading to learn more.
Given numbers are 678,548,312,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,548,312,628 is 758321304.
Find LCM of 678,548,312,628 with Prime Factorization
| 2 | 678, 548, 312, 628 |
| 2 | 339, 274, 156, 314 |
| 3 | 339, 137, 78, 157 |
| 113, 137, 26, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 137 x 26 x 157 = 758321304
Therefore, the lowest common multiple of 678,548,312,628 is 758321304.
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 548 x 312 x 628 = 72798845184
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
548 : 1, 2, 4, 137, 274, 548
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
628 : 1, 2, 4, 157, 314, 628
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,548,312,628, is 2.
Now, the common factors can be found like this.
678:2x 3x 113
548:2x 2x 137
312:2x 2x 2x 3x 13
628:2x 2x 157
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 72798845184/(2x48)
LCM = 72798845184/96
LCM = 758321304
Thus, we can understand that the LCM of 678,548,312,628 is 758321304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 678, 548, 312, 628
1. What is the LCM of 678, 548, 312, 628?
Answer: LCM of 678, 548, 312, 628 is 758321304.
2. How to calculate the LCM of 678, 548, 312, 628?
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, 548, 312, 628.
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}.