LCM of 607, 675, 942, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 675, 942, 338 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 607, 675, 942, 338. So, keep reading to learn more.
Given numbers are 607,675,942,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,675,942,338 is 21742466850.
Find LCM of 607,675,942,338 with Prime Factorization
| 2 | 607, 675, 942, 338 |
| 3 | 607, 675, 471, 169 |
| 607, 225, 157, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 607 x 225 x 157 x 169 = 21742466850
Therefore, the lowest common multiple of 607,675,942,338 is 21742466850.
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.
607 x 675 x 942 x 338 = 130454801100
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.
607 : 1, 607
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
942 : 1, 2, 3, 6, 157, 314, 471, 942
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,675,942,338, is 1.
Now, the common factors can be found like this.
607:607
675:3x 3x 3x 5x 5
942:2x 3x 157
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 130454801100/(1x6)
LCM = 130454801100/6
LCM = 21742466850
Thus, we can understand that the LCM of 607,675,942,338 is 21742466850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 607, 675, 942, 338
1. What is the LCM of 607, 675, 942, 338?
Answer: LCM of 607, 675, 942, 338 is 21742466850.
2. How to calculate the LCM of 607, 675, 942, 338?
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 607, 675, 942, 338.
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}.