LCM of 848, 906, 755, 894, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 906, 755, 894, 840 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 848, 906, 755, 894, 840. So, keep reading to learn more.
Given numbers are 848,906,755,894,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,906,755,894,840 is 2003310960.
Find LCM of 848,906,755,894,840 with Prime Factorization
| 2 | 848, 906, 755, 894, 840 |
| 2 | 424, 453, 755, 447, 420 |
| 2 | 212, 453, 755, 447, 210 |
| 3 | 106, 453, 755, 447, 105 |
| 5 | 106, 151, 755, 149, 35 |
| 151 | 106, 151, 151, 149, 7 |
| 106, 1, 1, 149, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 151 x 106 x 1 x 1 x 149 x 7 = 2003310960
Therefore, the lowest common multiple of 848,906,755,894,840 is 2003310960.
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.
848 x 906 x 755 x 894 x 840 = 435599935142400
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
906 : 1, 2, 3, 6, 151, 302, 453, 906
755 : 1, 5, 151, 755
894 : 1, 2, 3, 6, 149, 298, 447, 894
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,906,755,894,840, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
906:2x 3x 151
755:5x 151
894:2x 3x 149
840:2x 2x 2x 3x 5x 7
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 3x 5x 151 = 217440
Therefore, the value for common factors is 217440.
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 = 435599935142400/(1x217440)
LCM = 435599935142400/217440
LCM = 2003310960
Thus, we can understand that the LCM of 848,906,755,894,840 is 2003310960.
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FAQs on LCM of 848, 906, 755, 894, 840
1. What is the LCM of 848, 906, 755, 894, 840?
Answer: LCM of 848, 906, 755, 894, 840 is 2003310960.
2. How to calculate the LCM of 848, 906, 755, 894, 840?
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 848, 906, 755, 894, 840.
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}.