LCM of 303, 762, 420, 994, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 762, 420, 994, 716 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 303, 762, 420, 994, 716. So, keep reading to learn more.
Given numbers are 303,762,420,994,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,762,420,994,716 is 68467704060.
Find LCM of 303,762,420,994,716 with Prime Factorization
| 2 | 303, 762, 420, 994, 716 |
| 2 | 303, 381, 210, 497, 358 |
| 3 | 303, 381, 105, 497, 179 |
| 7 | 101, 127, 35, 497, 179 |
| 101, 127, 5, 71, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 101 x 127 x 5 x 71 x 179 = 68467704060
Therefore, the lowest common multiple of 303,762,420,994,716 is 68467704060.
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.
303 x 762 x 420 x 994 x 716 = 69015445692480
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.
303 : 1, 3, 101, 303
762 : 1, 2, 3, 6, 127, 254, 381, 762
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
994 : 1, 2, 7, 14, 71, 142, 497, 994
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,762,420,994,716, is 1.
Now, the common factors can be found like this.
303:3x 101
762:2x 3x 127
420:2x 2x 3x 5x 7
994:2x 7x 71
716:2x 2x 179
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 69015445692480/(1x1008)
LCM = 69015445692480/1008
LCM = 68467704060
Thus, we can understand that the LCM of 303,762,420,994,716 is 68467704060.
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FAQs on LCM of 303, 762, 420, 994, 716
1. What is the LCM of 303, 762, 420, 994, 716?
Answer: LCM of 303, 762, 420, 994, 716 is 68467704060.
2. How to calculate the LCM of 303, 762, 420, 994, 716?
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 303, 762, 420, 994, 716.
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}.