LCM of 961, 420, 968, 676, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 420, 968, 676, 870 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, 420, 968, 676, 870. So, keep reading to learn more.
Given numbers are 961,420,968,676,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,420,968,676,870 is 478710272040.
Find LCM of 961,420,968,676,870 with Prime Factorization
| 2 | 961, 420, 968, 676, 870 |
| 2 | 961, 210, 484, 338, 435 |
| 3 | 961, 105, 242, 169, 435 |
| 5 | 961, 35, 242, 169, 145 |
| 961, 7, 242, 169, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 961 x 7 x 242 x 169 x 29 = 478710272040
Therefore, the lowest common multiple of 961,420,968,676,870 is 478710272040.
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 420 x 968 x 676 x 870 = 229780930579200
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,420,968,676,870, is 1.
Now, the common factors can be found like this.
961:31x 31
420:2x 2x 3x 5x 7
968:2x 2x 2x 11x 11
676:2x 2x 13x 13
870:2x 3x 5x 29
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 229780930579200/(1x480)
LCM = 229780930579200/480
LCM = 478710272040
Thus, we can understand that the LCM of 961,420,968,676,870 is 478710272040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 420, 968, 676, 870
1. What is the LCM of 961, 420, 968, 676, 870?
Answer: LCM of 961, 420, 968, 676, 870 is 478710272040.
2. How to calculate the LCM of 961, 420, 968, 676, 870?
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, 420, 968, 676, 870.
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}.