LCM of 684, 276, 746, 489, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 276, 746, 489, 851 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 684, 276, 746, 489, 851. So, keep reading to learn more.
Given numbers are 684,276,746,489,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,276,746,489,851 is 35390125116.
Find LCM of 684,276,746,489,851 with Prime Factorization
| 2 | 684, 276, 746, 489, 851 |
| 2 | 342, 138, 373, 489, 851 |
| 3 | 171, 69, 373, 489, 851 |
| 23 | 57, 23, 373, 163, 851 |
| 57, 1, 373, 163, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 57 x 1 x 373 x 163 x 37 = 35390125116
Therefore, the lowest common multiple of 684,276,746,489,851 is 35390125116.
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.
684 x 276 x 746 x 489 x 851 = 58606047192096
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
746 : 1, 2, 373, 746
489 : 1, 3, 163, 489
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,276,746,489,851, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
276:2x 2x 3x 23
746:2x 373
489:3x 163
851:23x 37
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 23 = 1656
Therefore, the value for common factors is 1656.
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 = 58606047192096/(1x1656)
LCM = 58606047192096/1656
LCM = 35390125116
Thus, we can understand that the LCM of 684,276,746,489,851 is 35390125116.
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FAQs on LCM of 684, 276, 746, 489, 851
1. What is the LCM of 684, 276, 746, 489, 851?
Answer: LCM of 684, 276, 746, 489, 851 is 35390125116.
2. How to calculate the LCM of 684, 276, 746, 489, 851?
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 684, 276, 746, 489, 851.
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}.