LCM of 708, 874, 418, 782, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 874, 418, 782, 976 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 708, 874, 418, 782, 976. So, keep reading to learn more.
Given numbers are 708,874,418,782,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,874,418,782,976 is 14117120688.
Find LCM of 708,874,418,782,976 with Prime Factorization
| 2 | 708, 874, 418, 782, 976 |
| 2 | 354, 437, 209, 391, 488 |
| 19 | 177, 437, 209, 391, 244 |
| 23 | 177, 23, 11, 391, 244 |
| 177, 1, 11, 17, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 177 x 1 x 11 x 17 x 244 = 14117120688
Therefore, the lowest common multiple of 708,874,418,782,976 is 14117120688.
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.
708 x 874 x 418 x 782 x 976 = 197413815700992
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
874 : 1, 2, 19, 23, 38, 46, 437, 874
418 : 1, 2, 11, 19, 22, 38, 209, 418
782 : 1, 2, 17, 23, 34, 46, 391, 782
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,874,418,782,976, is 2.
Now, the common factors can be found like this.
708:2x 2x 3x 59
874:2x 19x 23
418:2x 11x 19
782:2x 17x 23
976:2x 2x 2x 2x 61
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 19x 23 = 6992
Therefore, the value for common factors is 6992.
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 = 197413815700992/(2x6992)
LCM = 197413815700992/13984
LCM = 14117120688
Thus, we can understand that the LCM of 708,874,418,782,976 is 14117120688.
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FAQs on LCM of 708, 874, 418, 782, 976
1. What is the LCM of 708, 874, 418, 782, 976?
Answer: LCM of 708, 874, 418, 782, 976 is 14117120688.
2. How to calculate the LCM of 708, 874, 418, 782, 976?
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 708, 874, 418, 782, 976.
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}.