LCM of 937, 968, 278, 320, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 968, 278, 320, 520 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 937, 968, 278, 320, 520. So, keep reading to learn more.
Given numbers are 937,968,278,320,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,968,278,320,520 is 65559116480.
Find LCM of 937,968,278,320,520 with Prime Factorization
| 2 | 937, 968, 278, 320, 520 |
| 2 | 937, 484, 139, 160, 260 |
| 2 | 937, 242, 139, 80, 130 |
| 5 | 937, 121, 139, 40, 65 |
| 937, 121, 139, 8, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 937 x 121 x 139 x 8 x 13 = 65559116480
Therefore, the lowest common multiple of 937,968,278,320,520 is 65559116480.
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.
937 x 968 x 278 x 320 x 520 = 41957834547200
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.
937 : 1, 937
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
278 : 1, 2, 139, 278
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,968,278,320,520, is 1.
Now, the common factors can be found like this.
937:937
968:2x 2x 2x 11x 11
278:2x 139
320:2x 2x 2x 2x 2x 2x 5
520:2x 2x 2x 5x 13
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 2x 2x 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 41957834547200/(1x640)
LCM = 41957834547200/640
LCM = 65559116480
Thus, we can understand that the LCM of 937,968,278,320,520 is 65559116480.
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FAQs on LCM of 937, 968, 278, 320, 520
1. What is the LCM of 937, 968, 278, 320, 520?
Answer: LCM of 937, 968, 278, 320, 520 is 65559116480.
2. How to calculate the LCM of 937, 968, 278, 320, 520?
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 937, 968, 278, 320, 520.
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}.