LCM of 420, 940, 510, 981, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 940, 510, 981, 700 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, 940, 510, 981, 700. So, keep reading to learn more.
Given numbers are 420,940,510,981,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,940,510,981,700 is 548673300.
Find LCM of 420,940,510,981,700 with Prime Factorization
| 2 | 420, 940, 510, 981, 700 |
| 2 | 210, 470, 255, 981, 350 |
| 3 | 105, 235, 255, 981, 175 |
| 5 | 35, 235, 85, 327, 175 |
| 7 | 7, 47, 17, 327, 35 |
| 1, 47, 17, 327, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 47 x 17 x 327 x 5 = 548673300
Therefore, the lowest common multiple of 420,940,510,981,700 is 548673300.
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 940 x 510 x 981 x 700 = 138265671600000
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
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
981 : 1, 3, 9, 109, 327, 981
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,940,510,981,700, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
940:2x 2x 5x 47
510:2x 3x 5x 17
981:3x 3x 109
700:2x 2x 5x 5x 7
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 2x 3x 3x 5x 5x 5x 7 = 252000
Therefore, the value for common factors is 252000.
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 = 138265671600000/(1x252000)
LCM = 138265671600000/252000
LCM = 548673300
Thus, we can understand that the LCM of 420,940,510,981,700 is 548673300.
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FAQs on LCM of 420, 940, 510, 981, 700
1. What is the LCM of 420, 940, 510, 981, 700?
Answer: LCM of 420, 940, 510, 981, 700 is 548673300.
2. How to calculate the LCM of 420, 940, 510, 981, 700?
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, 940, 510, 981, 700.
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}.