LCM of 940, 280, 456, 874, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 280, 456, 874, 874 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 940, 280, 456, 874, 874. So, keep reading to learn more.
Given numbers are 940,280,456,874,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,280,456,874,874 is 17252760.
Find LCM of 940,280,456,874,874 with Prime Factorization
| 2 | 940, 280, 456, 874, 874 |
| 2 | 470, 140, 228, 437, 437 |
| 2 | 235, 70, 114, 437, 437 |
| 5 | 235, 35, 57, 437, 437 |
| 19 | 47, 7, 57, 437, 437 |
| 23 | 47, 7, 3, 23, 23 |
| 47, 7, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 23 x 47 x 7 x 3 x 1 x 1 = 17252760
Therefore, the lowest common multiple of 940,280,456,874,874 is 17252760.
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.
940 x 280 x 456 x 874 x 874 = 91679786419200
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
874 : 1, 2, 19, 23, 38, 46, 437, 874
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,280,456,874,874, is 2.
Now, the common factors can be found like this.
940:2x 2x 5x 47
280:2x 2x 2x 5x 7
456:2x 2x 2x 3x 19
874:2x 19x 23
874:2x 19x 23
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 2x 5x 19x 19x 23 = 2656960
Therefore, the value for common factors is 2656960.
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 = 91679786419200/(2x2656960)
LCM = 91679786419200/5313920
LCM = 17252760
Thus, we can understand that the LCM of 940,280,456,874,874 is 17252760.
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FAQs on LCM of 940, 280, 456, 874, 874
1. What is the LCM of 940, 280, 456, 874, 874?
Answer: LCM of 940, 280, 456, 874, 874 is 17252760.
2. How to calculate the LCM of 940, 280, 456, 874, 874?
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 940, 280, 456, 874, 874.
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}.