LCM of 716, 279, 372, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 279, 372, 341 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 716, 279, 372, 341. So, keep reading to learn more.
Given numbers are 716,279,372,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,279,372,341 is 2197404.
Find LCM of 716,279,372,341 with Prime Factorization
| 2 | 716, 279, 372, 341 |
| 2 | 358, 279, 186, 341 |
| 3 | 179, 279, 93, 341 |
| 31 | 179, 31, 93, 341 |
| 179, 1, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 179 x 1 x 3 x 11 = 2197404
Therefore, the lowest common multiple of 716,279,372,341 is 2197404.
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.
716 x 279 x 372 x 341 = 25340462928
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.
716 : 1, 2, 4, 179, 358, 716
279 : 1, 3, 9, 31, 93, 279
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,279,372,341, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
279:3x 3x 31
372:2x 2x 3x 31
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 31x 31 = 11532
Therefore, the value for common factors is 11532.
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 = 25340462928/(1x11532)
LCM = 25340462928/11532
LCM = 2197404
Thus, we can understand that the LCM of 716,279,372,341 is 2197404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 279, 372, 341
1. What is the LCM of 716, 279, 372, 341?
Answer: LCM of 716, 279, 372, 341 is 2197404.
2. How to calculate the LCM of 716, 279, 372, 341?
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 716, 279, 372, 341.
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}.