LCM of 103, 102, 978, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 102, 978, 210 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 103, 102, 978, 210. So, keep reading to learn more.
Given numbers are 103,102,978,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,102,978,210 is 59936730.
Find LCM of 103,102,978,210 with Prime Factorization
| 2 | 103, 102, 978, 210 |
| 3 | 103, 51, 489, 105 |
| 103, 17, 163, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 17 x 163 x 35 = 59936730
Therefore, the lowest common multiple of 103,102,978,210 is 59936730.
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.
103 x 102 x 978 x 210 = 2157722280
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.
103 : 1, 103
102 : 1, 2, 3, 6, 17, 34, 51, 102
978 : 1, 2, 3, 6, 163, 326, 489, 978
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,102,978,210, is 1.
Now, the common factors can be found like this.
103:103
102:2x 3x 17
978:2x 3x 163
210:2x 3x 5x 7
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 3 = 36
Therefore, the value for common factors is 36.
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 = 2157722280/(1x36)
LCM = 2157722280/36
LCM = 59936730
Thus, we can understand that the LCM of 103,102,978,210 is 59936730.
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FAQs on LCM of 103, 102, 978, 210
1. What is the LCM of 103, 102, 978, 210?
Answer: LCM of 103, 102, 978, 210 is 59936730.
2. How to calculate the LCM of 103, 102, 978, 210?
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 103, 102, 978, 210.
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}.