LCM of 776, 546, 420, 299, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 546, 420, 299, 357 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 776, 546, 420, 299, 357. So, keep reading to learn more.
Given numbers are 776,546,420,299,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,546,420,299,357 is 414162840.
Find LCM of 776,546,420,299,357 with Prime Factorization
| 2 | 776, 546, 420, 299, 357 |
| 2 | 388, 273, 210, 299, 357 |
| 3 | 194, 273, 105, 299, 357 |
| 7 | 194, 91, 35, 299, 119 |
| 13 | 194, 13, 5, 299, 17 |
| 194, 1, 5, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 194 x 1 x 5 x 23 x 17 = 414162840
Therefore, the lowest common multiple of 776,546,420,299,357 is 414162840.
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.
776 x 546 x 420 x 299 x 357 = 18995164493760
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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
299 : 1, 13, 23, 299
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,546,420,299,357, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
546:2x 3x 7x 13
420:2x 2x 3x 5x 7
299:13x 23
357:3x 7x 17
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 3x 3x 7x 7x 13 = 45864
Therefore, the value for common factors is 45864.
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 = 18995164493760/(1x45864)
LCM = 18995164493760/45864
LCM = 414162840
Thus, we can understand that the LCM of 776,546,420,299,357 is 414162840.
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FAQs on LCM of 776, 546, 420, 299, 357
1. What is the LCM of 776, 546, 420, 299, 357?
Answer: LCM of 776, 546, 420, 299, 357 is 414162840.
2. How to calculate the LCM of 776, 546, 420, 299, 357?
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 776, 546, 420, 299, 357.
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}.