LCM of 307, 603, 670, 124, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 603, 670, 124, 689 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 307, 603, 670, 124, 689. So, keep reading to learn more.
Given numbers are 307,603,670,124,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,603,670,124,689 is 79079988780.
Find LCM of 307,603,670,124,689 with Prime Factorization
| 2 | 307, 603, 670, 124, 689 |
| 67 | 307, 603, 335, 62, 689 |
| 307, 9, 5, 62, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 307 x 9 x 5 x 62 x 689 = 79079988780
Therefore, the lowest common multiple of 307,603,670,124,689 is 79079988780.
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.
307 x 603 x 670 x 124 x 689 = 10596718496520
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.
307 : 1, 307
603 : 1, 3, 9, 67, 201, 603
670 : 1, 2, 5, 10, 67, 134, 335, 670
124 : 1, 2, 4, 31, 62, 124
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,603,670,124,689, is 1.
Now, the common factors can be found like this.
307:307
603:3x 3x 67
670:2x 5x 67
124:2x 2x 31
689:13x 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 67 = 134
Therefore, the value for common factors is 134.
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 = 10596718496520/(1x134)
LCM = 10596718496520/134
LCM = 79079988780
Thus, we can understand that the LCM of 307,603,670,124,689 is 79079988780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 603, 670, 124, 689
1. What is the LCM of 307, 603, 670, 124, 689?
Answer: LCM of 307, 603, 670, 124, 689 is 79079988780.
2. How to calculate the LCM of 307, 603, 670, 124, 689?
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 307, 603, 670, 124, 689.
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}.