LCM of 420, 867, 610, 470, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 867, 610, 470, 974 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 420, 867, 610, 470, 974. So, keep reading to learn more.
Given numbers are 420,867,610,470,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,867,610,470,974 is 169474276020.
Find LCM of 420,867,610,470,974 with Prime Factorization
| 2 | 420, 867, 610, 470, 974 |
| 3 | 210, 867, 305, 235, 487 |
| 5 | 70, 289, 305, 235, 487 |
| 14, 289, 61, 47, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 14 x 289 x 61 x 47 x 487 = 169474276020
Therefore, the lowest common multiple of 420,867,610,470,974 is 169474276020.
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.
420 x 867 x 610 x 470 x 974 = 101684565612000
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
867 : 1, 3, 17, 51, 289, 867
610 : 1, 2, 5, 10, 61, 122, 305, 610
470 : 1, 2, 5, 10, 47, 94, 235, 470
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,867,610,470,974, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
867:3x 17x 17
610:2x 5x 61
470:2x 5x 47
974:2x 487
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 101684565612000/(1x600)
LCM = 101684565612000/600
LCM = 169474276020
Thus, we can understand that the LCM of 420,867,610,470,974 is 169474276020.
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FAQs on LCM of 420, 867, 610, 470, 974
1. What is the LCM of 420, 867, 610, 470, 974?
Answer: LCM of 420, 867, 610, 470, 974 is 169474276020.
2. How to calculate the LCM of 420, 867, 610, 470, 974?
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 420, 867, 610, 470, 974.
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}.