LCM of 854, 847, 410, 480, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 847, 410, 480, 970 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 854, 847, 410, 480, 970. So, keep reading to learn more.
Given numbers are 854,847,410,480,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,847,410,480,970 is 98630236320.
Find LCM of 854,847,410,480,970 with Prime Factorization
| 2 | 854, 847, 410, 480, 970 |
| 5 | 427, 847, 205, 240, 485 |
| 7 | 427, 847, 41, 48, 97 |
| 61, 121, 41, 48, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 121 x 41 x 48 x 97 = 98630236320
Therefore, the lowest common multiple of 854,847,410,480,970 is 98630236320.
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.
854 x 847 x 410 x 480 x 970 = 138082330848000
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
847 : 1, 7, 11, 77, 121, 847
410 : 1, 2, 5, 10, 41, 82, 205, 410
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,847,410,480,970, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
847:7x 11x 11
410:2x 5x 41
480:2x 2x 2x 2x 2x 3x 5
970:2x 5x 97
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 5x 5x 7 = 1400
Therefore, the value for common factors is 1400.
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 = 138082330848000/(1x1400)
LCM = 138082330848000/1400
LCM = 98630236320
Thus, we can understand that the LCM of 854,847,410,480,970 is 98630236320.
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FAQs on LCM of 854, 847, 410, 480, 970
1. What is the LCM of 854, 847, 410, 480, 970?
Answer: LCM of 854, 847, 410, 480, 970 is 98630236320.
2. How to calculate the LCM of 854, 847, 410, 480, 970?
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 854, 847, 410, 480, 970.
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}.