LCM of 347, 978, 420, 556, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 978, 420, 556, 887 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 347, 978, 420, 556, 887. So, keep reading to learn more.
Given numbers are 347,978,420,556,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,978,420,556,887 is 2928901656660.
Find LCM of 347,978,420,556,887 with Prime Factorization
| 2 | 347, 978, 420, 556, 887 |
| 2 | 347, 489, 210, 278, 887 |
| 3 | 347, 489, 105, 139, 887 |
| 347, 163, 35, 139, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 347 x 163 x 35 x 139 x 887 = 2928901656660
Therefore, the lowest common multiple of 347,978,420,556,887 is 2928901656660.
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.
347 x 978 x 420 x 556 x 887 = 70293639759840
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.
347 : 1, 347
978 : 1, 2, 3, 6, 163, 326, 489, 978
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
556 : 1, 2, 4, 139, 278, 556
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,978,420,556,887, is 1.
Now, the common factors can be found like this.
347:347
978:2x 3x 163
420:2x 2x 3x 5x 7
556:2x 2x 139
887:887
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 = 70293639759840/(1x24)
LCM = 70293639759840/24
LCM = 2928901656660
Thus, we can understand that the LCM of 347,978,420,556,887 is 2928901656660.
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FAQs on LCM of 347, 978, 420, 556, 887
1. What is the LCM of 347, 978, 420, 556, 887?
Answer: LCM of 347, 978, 420, 556, 887 is 2928901656660.
2. How to calculate the LCM of 347, 978, 420, 556, 887?
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 347, 978, 420, 556, 887.
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}.