LCM of 978, 760, 101, 30
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 760, 101, 30 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 978, 760, 101, 30. So, keep reading to learn more.
Given numbers are 978,760,101,30
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,760,101,30 is 37535640.
Find LCM of 978,760,101,30 with Prime Factorization
| 2 | 978, 760, 101, 30 |
| 3 | 489, 380, 101, 15 |
| 5 | 163, 380, 101, 5 |
| 163, 76, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 76 x 101 x 1 = 37535640
Therefore, the lowest common multiple of 978,760,101,30 is 37535640.
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.
978 x 760 x 101 x 30 = 2252138400
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
101 : 1, 101
30 : 1, 2, 3, 5, 6, 10, 15, 30
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,760,101,30, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
760:2x 2x 2x 5x 19
101:101
30:2x 3x 5
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 5 = 60
Therefore, the value for common factors is 60.
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 = 2252138400/(1x60)
LCM = 2252138400/60
LCM = 37535640
Thus, we can understand that the LCM of 978,760,101,30 is 37535640.
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FAQs on LCM of 978, 760, 101, 30
1. What is the LCM of 978, 760, 101, 30?
Answer: LCM of 978, 760, 101, 30 is 37535640.
2. How to calculate the LCM of 978, 760, 101, 30?
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 978, 760, 101, 30.
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}.