LCM of 961, 639, 527, 714, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 639, 527, 714, 285 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 961, 639, 527, 714, 285. So, keep reading to learn more.
Given numbers are 961,639,527,714,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,639,527,714,285 is 13884326190.
Find LCM of 961,639,527,714,285 with Prime Factorization
| 3 | 961, 639, 527, 714, 285 |
| 17 | 961, 213, 527, 238, 95 |
| 31 | 961, 213, 31, 14, 95 |
| 1, 213, 31, 14, 95 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 31 x 1 x 213 x 31 x 14 x 95 = 13884326190
Therefore, the lowest common multiple of 961,639,527,714,285 is 13884326190.
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.
961 x 639 x 527 x 714 x 285 = 65853359119170
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.
961 : 1, 31, 961
639 : 1, 3, 9, 71, 213, 639
527 : 1, 17, 31, 527
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,639,527,714,285, is 1.
Now, the common factors can be found like this.
961:31x 31
639:3x 3x 71
527:17x 31
714:2x 3x 7x 17
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 31 = 4743
Therefore, the value for common factors is 4743.
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 = 65853359119170/(1x4743)
LCM = 65853359119170/4743
LCM = 13884326190
Thus, we can understand that the LCM of 961,639,527,714,285 is 13884326190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 639, 527, 714, 285
1. What is the LCM of 961, 639, 527, 714, 285?
Answer: LCM of 961, 639, 527, 714, 285 is 13884326190.
2. How to calculate the LCM of 961, 639, 527, 714, 285?
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 961, 639, 527, 714, 285.
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}.