LCM of 195, 757, 315, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 757, 315, 959 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 195, 757, 315, 959. So, keep reading to learn more.
Given numbers are 195,757,315,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,757,315,959 is 424688355.
Find LCM of 195,757,315,959 with Prime Factorization
| 3 | 195, 757, 315, 959 |
| 5 | 65, 757, 105, 959 |
| 7 | 13, 757, 21, 959 |
| 13, 757, 3, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 757 x 3 x 137 = 424688355
Therefore, the lowest common multiple of 195,757,315,959 is 424688355.
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.
195 x 757 x 315 x 959 = 44592277275
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
757 : 1, 757
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,757,315,959, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
757:757
315:3x 3x 5x 7
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 44592277275/(1x105)
LCM = 44592277275/105
LCM = 424688355
Thus, we can understand that the LCM of 195,757,315,959 is 424688355.
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FAQs on LCM of 195, 757, 315, 959
1. What is the LCM of 195, 757, 315, 959?
Answer: LCM of 195, 757, 315, 959 is 424688355.
2. How to calculate the LCM of 195, 757, 315, 959?
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 195, 757, 315, 959.
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}.