LCM of 774, 170, 357, 541, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 170, 357, 541, 239 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 774, 170, 357, 541, 239. So, keep reading to learn more.
Given numbers are 774,170,357,541,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,170,357,541,239 is 59546068470.
Find LCM of 774,170,357,541,239 with Prime Factorization
| 2 | 774, 170, 357, 541, 239 |
| 3 | 387, 85, 357, 541, 239 |
| 17 | 129, 85, 119, 541, 239 |
| 129, 5, 7, 541, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 129 x 5 x 7 x 541 x 239 = 59546068470
Therefore, the lowest common multiple of 774,170,357,541,239 is 59546068470.
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.
774 x 170 x 357 x 541 x 239 = 6073698983940
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
170 : 1, 2, 5, 10, 17, 34, 85, 170
357 : 1, 3, 7, 17, 21, 51, 119, 357
541 : 1, 541
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,170,357,541,239, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
170:2x 5x 17
357:3x 7x 17
541:541
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 6073698983940/(1x102)
LCM = 6073698983940/102
LCM = 59546068470
Thus, we can understand that the LCM of 774,170,357,541,239 is 59546068470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 170, 357, 541, 239
1. What is the LCM of 774, 170, 357, 541, 239?
Answer: LCM of 774, 170, 357, 541, 239 is 59546068470.
2. How to calculate the LCM of 774, 170, 357, 541, 239?
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 774, 170, 357, 541, 239.
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}.