LCM of 767, 700, 628, 896, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 700, 628, 896, 365 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 767, 700, 628, 896, 365. So, keep reading to learn more.
Given numbers are 767,700,628,896,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,700,628,896,365 is 196909148800.
Find LCM of 767,700,628,896,365 with Prime Factorization
| 2 | 767, 700, 628, 896, 365 |
| 2 | 767, 350, 314, 448, 365 |
| 5 | 767, 175, 157, 224, 365 |
| 7 | 767, 35, 157, 224, 73 |
| 767, 5, 157, 32, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 767 x 5 x 157 x 32 x 73 = 196909148800
Therefore, the lowest common multiple of 767,700,628,896,365 is 196909148800.
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.
767 x 700 x 628 x 896 x 365 = 110269123328000
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.
767 : 1, 13, 59, 767
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
628 : 1, 2, 4, 157, 314, 628
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,700,628,896,365, is 1.
Now, the common factors can be found like this.
767:13x 59
700:2x 2x 5x 5x 7
628:2x 2x 157
896:2x 2x 2x 2x 2x 2x 2x 7
365:5x 73
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 110269123328000/(1x560)
LCM = 110269123328000/560
LCM = 196909148800
Thus, we can understand that the LCM of 767,700,628,896,365 is 196909148800.
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FAQs on LCM of 767, 700, 628, 896, 365
1. What is the LCM of 767, 700, 628, 896, 365?
Answer: LCM of 767, 700, 628, 896, 365 is 196909148800.
2. How to calculate the LCM of 767, 700, 628, 896, 365?
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 767, 700, 628, 896, 365.
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}.