LCM of 716, 105, 212, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 105, 212, 354 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, 105, 212, 354. So, keep reading to learn more.
Given numbers are 716,105,212,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,105,212,354 is 235087860.
Find LCM of 716,105,212,354 with Prime Factorization
| 2 | 716, 105, 212, 354 |
| 2 | 358, 105, 106, 177 |
| 3 | 179, 105, 53, 177 |
| 179, 35, 53, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 35 x 53 x 59 = 235087860
Therefore, the lowest common multiple of 716,105,212,354 is 235087860.
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 105 x 212 x 354 = 5642108640
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
212 : 1, 2, 4, 53, 106, 212
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,105,212,354, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
105:3x 5x 7
212:2x 2x 53
354:2x 3x 59
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 5642108640/(1x24)
LCM = 5642108640/24
LCM = 235087860
Thus, we can understand that the LCM of 716,105,212,354 is 235087860.
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FAQs on LCM of 716, 105, 212, 354
1. What is the LCM of 716, 105, 212, 354?
Answer: LCM of 716, 105, 212, 354 is 235087860.
2. How to calculate the LCM of 716, 105, 212, 354?
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, 105, 212, 354.
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}.