LCM of 107, 214, 297, 343, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 214, 297, 343, 978 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 107, 214, 297, 343, 978. So, keep reading to learn more.
Given numbers are 107,214,297,343,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,214,297,343,978 is 3553464222.
Find LCM of 107,214,297,343,978 with Prime Factorization
| 2 | 107, 214, 297, 343, 978 |
| 3 | 107, 107, 297, 343, 489 |
| 107 | 107, 107, 99, 343, 163 |
| 1, 1, 99, 343, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 1 x 1 x 99 x 343 x 163 = 3553464222
Therefore, the lowest common multiple of 107,214,297,343,978 is 3553464222.
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.
107 x 214 x 297 x 343 x 978 = 2281324030524
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.
107 : 1, 107
214 : 1, 2, 107, 214
297 : 1, 3, 9, 11, 27, 33, 99, 297
343 : 1, 7, 49, 343
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,214,297,343,978, is 1.
Now, the common factors can be found like this.
107:107
214:2x 107
297:3x 3x 3x 11
343:7x 7x 7
978:2x 3x 163
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 107 = 642
Therefore, the value for common factors is 642.
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 = 2281324030524/(1x642)
LCM = 2281324030524/642
LCM = 3553464222
Thus, we can understand that the LCM of 107,214,297,343,978 is 3553464222.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 107, 214, 297, 343, 978
1. What is the LCM of 107, 214, 297, 343, 978?
Answer: LCM of 107, 214, 297, 343, 978 is 3553464222.
2. How to calculate the LCM of 107, 214, 297, 343, 978?
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 107, 214, 297, 343, 978.
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}.