LCM of 854, 688, 308, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 688, 308, 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 854, 688, 308, 840. So, keep reading to learn more.
Given numbers are 854,688,308,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,688,308,840 is 48473040.
Find LCM of 854,688,308,840 with Prime Factorization
| 2 | 854, 688, 308, 840 |
| 2 | 427, 344, 154, 420 |
| 2 | 427, 172, 77, 210 |
| 7 | 427, 86, 77, 105 |
| 61, 86, 11, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 61 x 86 x 11 x 15 = 48473040
Therefore, the lowest common multiple of 854,688,308,840 is 48473040.
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 688 x 308 x 840 = 152011453440
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
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,688,308,840, is 2.
Now, the common factors can be found like this.
854:2x 7x 61
688:2x 2x 2x 2x 43
308:2x 2x 7x 11
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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 152011453440/(2x1568)
LCM = 152011453440/3136
LCM = 48473040
Thus, we can understand that the LCM of 854,688,308,840 is 48473040.
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FAQs on LCM of 854, 688, 308, 840
1. What is the LCM of 854, 688, 308, 840?
Answer: LCM of 854, 688, 308, 840 is 48473040.
2. How to calculate the LCM of 854, 688, 308, 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 854, 688, 308, 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}.