LCM of 632, 968, 985, 880, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 968, 985, 880, 265 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 632, 968, 985, 880, 265. So, keep reading to learn more.
Given numbers are 632,968,985,880,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,968,985,880,265 is 7984441520.
Find LCM of 632,968,985,880,265 with Prime Factorization
| 2 | 632, 968, 985, 880, 265 |
| 2 | 316, 484, 985, 440, 265 |
| 2 | 158, 242, 985, 220, 265 |
| 5 | 79, 121, 985, 110, 265 |
| 11 | 79, 121, 197, 22, 53 |
| 79, 11, 197, 2, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 79 x 11 x 197 x 2 x 53 = 7984441520
Therefore, the lowest common multiple of 632,968,985,880,265 is 7984441520.
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.
632 x 968 x 985 x 880 x 265 = 140526170752000
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
985 : 1, 5, 197, 985
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,968,985,880,265, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
968:2x 2x 2x 11x 11
985:5x 197
880:2x 2x 2x 2x 5x 11
265:5x 53
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 5x 5x 11 = 17600
Therefore, the value for common factors is 17600.
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 = 140526170752000/(1x17600)
LCM = 140526170752000/17600
LCM = 7984441520
Thus, we can understand that the LCM of 632,968,985,880,265 is 7984441520.
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FAQs on LCM of 632, 968, 985, 880, 265
1. What is the LCM of 632, 968, 985, 880, 265?
Answer: LCM of 632, 968, 985, 880, 265 is 7984441520.
2. How to calculate the LCM of 632, 968, 985, 880, 265?
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 632, 968, 985, 880, 265.
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}.