LCM of 195, 385, 539, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 385, 539, 334 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, 385, 539, 334. So, keep reading to learn more.
Given numbers are 195,385,539,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,385,539,334 is 35105070.
Find LCM of 195,385,539,334 with Prime Factorization
| 5 | 195, 385, 539, 334 |
| 7 | 39, 77, 539, 334 |
| 11 | 39, 11, 77, 334 |
| 39, 1, 7, 334 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 39 x 1 x 7 x 334 = 35105070
Therefore, the lowest common multiple of 195,385,539,334 is 35105070.
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 385 x 539 x 334 = 13515451950
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
539 : 1, 7, 11, 49, 77, 539
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,385,539,334, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
385:5x 7x 11
539:7x 7x 11
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11 = 385
Therefore, the value for common factors is 385.
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 = 13515451950/(1x385)
LCM = 13515451950/385
LCM = 35105070
Thus, we can understand that the LCM of 195,385,539,334 is 35105070.
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FAQs on LCM of 195, 385, 539, 334
1. What is the LCM of 195, 385, 539, 334?
Answer: LCM of 195, 385, 539, 334 is 35105070.
2. How to calculate the LCM of 195, 385, 539, 334?
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, 385, 539, 334.
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}.