LCM of 879, 807, 732, 538, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 807, 732, 538, 708 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 879, 807, 732, 538, 708. So, keep reading to learn more.
Given numbers are 879,807,732,538,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,807,732,538,708 is 3403948596.
Find LCM of 879,807,732,538,708 with Prime Factorization
| 2 | 879, 807, 732, 538, 708 |
| 2 | 879, 807, 366, 269, 354 |
| 3 | 879, 807, 183, 269, 177 |
| 269 | 293, 269, 61, 269, 59 |
| 293, 1, 61, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 269 x 293 x 1 x 61 x 1 x 59 = 3403948596
Therefore, the lowest common multiple of 879,807,732,538,708 is 3403948596.
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.
879 x 807 x 732 x 538 x 708 = 197783029221984
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.
879 : 1, 3, 293, 879
807 : 1, 3, 269, 807
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
538 : 1, 2, 269, 538
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,807,732,538,708, is 1.
Now, the common factors can be found like this.
879:3x 293
807:3x 269
732:2x 2x 3x 61
538:2x 269
708:2x 2x 3x 59
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 3x 269 = 58104
Therefore, the value for common factors is 58104.
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 = 197783029221984/(1x58104)
LCM = 197783029221984/58104
LCM = 3403948596
Thus, we can understand that the LCM of 879,807,732,538,708 is 3403948596.
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FAQs on LCM of 879, 807, 732, 538, 708
1. What is the LCM of 879, 807, 732, 538, 708?
Answer: LCM of 879, 807, 732, 538, 708 is 3403948596.
2. How to calculate the LCM of 879, 807, 732, 538, 708?
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 879, 807, 732, 538, 708.
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}.