LCM of 711, 420, 956, 376, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 420, 956, 376, 862 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 711, 420, 956, 376, 862. So, keep reading to learn more.
Given numbers are 711,420,956,376,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,420,956,376,862 is 963830490840.
Find LCM of 711,420,956,376,862 with Prime Factorization
| 2 | 711, 420, 956, 376, 862 |
| 2 | 711, 210, 478, 188, 431 |
| 3 | 711, 105, 239, 94, 431 |
| 237, 35, 239, 94, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 237 x 35 x 239 x 94 x 431 = 963830490840
Therefore, the lowest common multiple of 711,420,956,376,862 is 963830490840.
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.
711 x 420 x 956 x 376 x 862 = 92527727120640
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.
711 : 1, 3, 9, 79, 237, 711
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
956 : 1, 2, 4, 239, 478, 956
376 : 1, 2, 4, 8, 47, 94, 188, 376
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,420,956,376,862, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
420:2x 2x 3x 5x 7
956:2x 2x 239
376:2x 2x 2x 47
862:2x 431
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 3 = 96
Therefore, the value for common factors is 96.
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 = 92527727120640/(1x96)
LCM = 92527727120640/96
LCM = 963830490840
Thus, we can understand that the LCM of 711,420,956,376,862 is 963830490840.
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FAQs on LCM of 711, 420, 956, 376, 862
1. What is the LCM of 711, 420, 956, 376, 862?
Answer: LCM of 711, 420, 956, 376, 862 is 963830490840.
2. How to calculate the LCM of 711, 420, 956, 376, 862?
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 711, 420, 956, 376, 862.
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}.