LCM of 961, 884, 534, 745, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 884, 534, 745, 714 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, 884, 534, 745, 714. So, keep reading to learn more.
Given numbers are 961,884,534,745,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,884,534,745,714 is 1182881465220.
Find LCM of 961,884,534,745,714 with Prime Factorization
| 2 | 961, 884, 534, 745, 714 |
| 3 | 961, 442, 267, 745, 357 |
| 17 | 961, 442, 89, 745, 119 |
| 961, 26, 89, 745, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 961 x 26 x 89 x 745 x 7 = 1182881465220
Therefore, the lowest common multiple of 961,884,534,745,714 is 1182881465220.
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 884 x 534 x 745 x 714 = 241307818904880
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
534 : 1, 2, 3, 6, 89, 178, 267, 534
745 : 1, 5, 149, 745
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,884,534,745,714, is 1.
Now, the common factors can be found like this.
961:31x 31
884:2x 2x 13x 17
534:2x 3x 89
745:5x 149
714:2x 3x 7x 17
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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 241307818904880/(1x204)
LCM = 241307818904880/204
LCM = 1182881465220
Thus, we can understand that the LCM of 961,884,534,745,714 is 1182881465220.
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FAQs on LCM of 961, 884, 534, 745, 714
1. What is the LCM of 961, 884, 534, 745, 714?
Answer: LCM of 961, 884, 534, 745, 714 is 1182881465220.
2. How to calculate the LCM of 961, 884, 534, 745, 714?
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, 884, 534, 745, 714.
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}.