LCM of 980, 975, 715, 916, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 975, 715, 916, 144 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 980, 975, 715, 916, 144. So, keep reading to learn more.
Given numbers are 980,975,715,916,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,975,715,916,144 is 5776570800.
Find LCM of 980,975,715,916,144 with Prime Factorization
| 2 | 980, 975, 715, 916, 144 |
| 2 | 490, 975, 715, 458, 72 |
| 3 | 245, 975, 715, 229, 36 |
| 5 | 245, 325, 715, 229, 12 |
| 13 | 49, 65, 143, 229, 12 |
| 49, 5, 11, 229, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 49 x 5 x 11 x 229 x 12 = 5776570800
Therefore, the lowest common multiple of 980,975,715,916,144 is 5776570800.
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.
980 x 975 x 715 x 916 x 144 = 90114504480000
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
715 : 1, 5, 11, 13, 55, 65, 143, 715
916 : 1, 2, 4, 229, 458, 916
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,975,715,916,144, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
975:3x 5x 5x 13
715:5x 11x 13
916:2x 2x 229
144:2x 2x 2x 2x 3x 3
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 2x 3x 5x 5x 13 = 15600
Therefore, the value for common factors is 15600.
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 = 90114504480000/(1x15600)
LCM = 90114504480000/15600
LCM = 5776570800
Thus, we can understand that the LCM of 980,975,715,916,144 is 5776570800.
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FAQs on LCM of 980, 975, 715, 916, 144
1. What is the LCM of 980, 975, 715, 916, 144?
Answer: LCM of 980, 975, 715, 916, 144 is 5776570800.
2. How to calculate the LCM of 980, 975, 715, 916, 144?
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 980, 975, 715, 916, 144.
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}.