LCM of 478, 959, 420, 143, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 959, 420, 143, 994 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 478, 959, 420, 143, 994. So, keep reading to learn more.
Given numbers are 478,959,420,143,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,959,420,143,994 is 139624665180.
Find LCM of 478,959,420,143,994 with Prime Factorization
| 2 | 478, 959, 420, 143, 994 |
| 7 | 239, 959, 210, 143, 497 |
| 239, 137, 30, 143, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 239 x 137 x 30 x 143 x 71 = 139624665180
Therefore, the lowest common multiple of 478,959,420,143,994 is 139624665180.
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.
478 x 959 x 420 x 143 x 994 = 27366434375280
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.
478 : 1, 2, 239, 478
959 : 1, 7, 137, 959
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
143 : 1, 11, 13, 143
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,959,420,143,994, is 1.
Now, the common factors can be found like this.
478:2x 239
959:7x 137
420:2x 2x 3x 5x 7
143:11x 13
994:2x 7x 71
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 27366434375280/(1x196)
LCM = 27366434375280/196
LCM = 139624665180
Thus, we can understand that the LCM of 478,959,420,143,994 is 139624665180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 959, 420, 143, 994
1. What is the LCM of 478, 959, 420, 143, 994?
Answer: LCM of 478, 959, 420, 143, 994 is 139624665180.
2. How to calculate the LCM of 478, 959, 420, 143, 994?
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 478, 959, 420, 143, 994.
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}.