LCM of 867, 748, 578, 176, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 748, 578, 176, 718 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, 748, 578, 176, 718. So, keep reading to learn more.
Given numbers are 867,748,578,176,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,748,578,176,718 is 54780528.
Find LCM of 867,748,578,176,718 with Prime Factorization
| 2 | 867, 748, 578, 176, 718 |
| 2 | 867, 374, 289, 88, 359 |
| 11 | 867, 187, 289, 44, 359 |
| 17 | 867, 17, 289, 4, 359 |
| 17 | 51, 1, 17, 4, 359 |
| 3, 1, 1, 4, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 17 x 3 x 1 x 1 x 4 x 359 = 54780528
Therefore, the lowest common multiple of 867,748,578,176,718 is 54780528.
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 748 x 578 x 176 x 718 = 47368065195264
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
578 : 1, 2, 17, 34, 289, 578
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,748,578,176,718, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
748:2x 2x 11x 17
578:2x 17x 17
176:2x 2x 2x 2x 11
718:2x 359
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 11x 17x 17x 17 = 864688
Therefore, the value for common factors is 864688.
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 = 47368065195264/(1x864688)
LCM = 47368065195264/864688
LCM = 54780528
Thus, we can understand that the LCM of 867,748,578,176,718 is 54780528.
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FAQs on LCM of 867, 748, 578, 176, 718
1. What is the LCM of 867, 748, 578, 176, 718?
Answer: LCM of 867, 748, 578, 176, 718 is 54780528.
2. How to calculate the LCM of 867, 748, 578, 176, 718?
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, 748, 578, 176, 718.
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}.