LCM of 867, 578, 802, 313, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 578, 802, 313, 139 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, 578, 802, 313, 139. So, keep reading to learn more.
Given numbers are 867,578,802,313,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,578,802,313,139 is 30251896338.
Find LCM of 867,578,802,313,139 with Prime Factorization
| 2 | 867, 578, 802, 313, 139 |
| 17 | 867, 289, 401, 313, 139 |
| 17 | 51, 17, 401, 313, 139 |
| 3, 1, 401, 313, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 17 x 3 x 1 x 401 x 313 x 139 = 30251896338
Therefore, the lowest common multiple of 867,578,802,313,139 is 30251896338.
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 578 x 802 x 313 x 139 = 17485596083364
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
578 : 1, 2, 17, 34, 289, 578
802 : 1, 2, 401, 802
313 : 1, 313
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,578,802,313,139, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
578:2x 17x 17
802:2x 401
313:313
139:139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 17485596083364/(1x578)
LCM = 17485596083364/578
LCM = 30251896338
Thus, we can understand that the LCM of 867,578,802,313,139 is 30251896338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 578, 802, 313, 139
1. What is the LCM of 867, 578, 802, 313, 139?
Answer: LCM of 867, 578, 802, 313, 139 is 30251896338.
2. How to calculate the LCM of 867, 578, 802, 313, 139?
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, 578, 802, 313, 139.
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}.