LCM of 965, 770, 148, 925, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 770, 148, 925, 282 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 965, 770, 148, 925, 282. So, keep reading to learn more.
Given numbers are 965,770,148,925,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,770,148,925,282 is 7752983700.
Find LCM of 965,770,148,925,282 with Prime Factorization
| 2 | 965, 770, 148, 925, 282 |
| 5 | 965, 385, 74, 925, 141 |
| 37 | 193, 77, 74, 185, 141 |
| 193, 77, 2, 5, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 193 x 77 x 2 x 5 x 141 = 7752983700
Therefore, the lowest common multiple of 965,770,148,925,282 is 7752983700.
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.
965 x 770 x 148 x 925 x 282 = 28686039690000
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.
965 : 1, 5, 193, 965
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
148 : 1, 2, 4, 37, 74, 148
925 : 1, 5, 25, 37, 185, 925
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,770,148,925,282, is 1.
Now, the common factors can be found like this.
965:5x 193
770:2x 5x 7x 11
148:2x 2x 37
925:5x 5x 37
282:2x 3x 47
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 5x 5x 37 = 3700
Therefore, the value for common factors is 3700.
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 = 28686039690000/(1x3700)
LCM = 28686039690000/3700
LCM = 7752983700
Thus, we can understand that the LCM of 965,770,148,925,282 is 7752983700.
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FAQs on LCM of 965, 770, 148, 925, 282
1. What is the LCM of 965, 770, 148, 925, 282?
Answer: LCM of 965, 770, 148, 925, 282 is 7752983700.
2. How to calculate the LCM of 965, 770, 148, 925, 282?
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 965, 770, 148, 925, 282.
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}.