LCM of 962, 290, 833, 611, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 290, 833, 611, 514 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 962, 290, 833, 611, 514. So, keep reading to learn more.
Given numbers are 962,290,833,611,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,290,833,611,514 is 1403521458430.
Find LCM of 962,290,833,611,514 with Prime Factorization
| 2 | 962, 290, 833, 611, 514 |
| 13 | 481, 145, 833, 611, 257 |
| 37, 145, 833, 47, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 145 x 833 x 47 x 257 = 1403521458430
Therefore, the lowest common multiple of 962,290,833,611,514 is 1403521458430.
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.
962 x 290 x 833 x 611 x 514 = 72983115838360
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
290 : 1, 2, 5, 10, 29, 58, 145, 290
833 : 1, 7, 17, 49, 119, 833
611 : 1, 13, 47, 611
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,290,833,611,514, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
290:2x 5x 29
833:7x 7x 17
611:13x 47
514:2x 257
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 13 = 52
Therefore, the value for common factors is 52.
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 = 72983115838360/(1x52)
LCM = 72983115838360/52
LCM = 1403521458430
Thus, we can understand that the LCM of 962,290,833,611,514 is 1403521458430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 290, 833, 611, 514
1. What is the LCM of 962, 290, 833, 611, 514?
Answer: LCM of 962, 290, 833, 611, 514 is 1403521458430.
2. How to calculate the LCM of 962, 290, 833, 611, 514?
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 962, 290, 833, 611, 514.
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}.