LCM of 867, 543, 456, 139, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 543, 456, 139, 608 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 867, 543, 456, 139, 608. So, keep reading to learn more.
Given numbers are 867,543,456,139,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,543,456,139,608 is 13262214624.
Find LCM of 867,543,456,139,608 with Prime Factorization
| 2 | 867, 543, 456, 139, 608 |
| 2 | 867, 543, 228, 139, 304 |
| 2 | 867, 543, 114, 139, 152 |
| 3 | 867, 543, 57, 139, 76 |
| 19 | 289, 181, 19, 139, 76 |
| 289, 181, 1, 139, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 289 x 181 x 1 x 139 x 4 = 13262214624
Therefore, the lowest common multiple of 867,543,456,139,608 is 13262214624.
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.
867 x 543 x 456 x 139 x 608 = 18142709605632
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.
867 : 1, 3, 17, 51, 289, 867
543 : 1, 3, 181, 543
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
139 : 1, 139
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,543,456,139,608, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
543:3x 181
456:2x 2x 2x 3x 19
139:139
608:2x 2x 2x 2x 2x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 18142709605632/(1x1368)
LCM = 18142709605632/1368
LCM = 13262214624
Thus, we can understand that the LCM of 867,543,456,139,608 is 13262214624.
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FAQs on LCM of 867, 543, 456, 139, 608
1. What is the LCM of 867, 543, 456, 139, 608?
Answer: LCM of 867, 543, 456, 139, 608 is 13262214624.
2. How to calculate the LCM of 867, 543, 456, 139, 608?
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 867, 543, 456, 139, 608.
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}.