LCM of 614, 354, 977, 672, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 354, 977, 672, 350 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 614, 354, 977, 672, 350. So, keep reading to learn more.
Given numbers are 614,354,977,672,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,354,977,672,350 is 297299536800.
Find LCM of 614,354,977,672,350 with Prime Factorization
| 2 | 614, 354, 977, 672, 350 |
| 3 | 307, 177, 977, 336, 175 |
| 7 | 307, 59, 977, 112, 175 |
| 307, 59, 977, 16, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 307 x 59 x 977 x 16 x 25 = 297299536800
Therefore, the lowest common multiple of 614,354,977,672,350 is 297299536800.
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.
614 x 354 x 977 x 672 x 350 = 49946322182400
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.
614 : 1, 2, 307, 614
354 : 1, 2, 3, 6, 59, 118, 177, 354
977 : 1, 977
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,354,977,672,350, is 1.
Now, the common factors can be found like this.
614:2x 307
354:2x 3x 59
977:977
672:2x 2x 2x 2x 2x 3x 7
350:2x 5x 5x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 49946322182400/(1x168)
LCM = 49946322182400/168
LCM = 297299536800
Thus, we can understand that the LCM of 614,354,977,672,350 is 297299536800.
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FAQs on LCM of 614, 354, 977, 672, 350
1. What is the LCM of 614, 354, 977, 672, 350?
Answer: LCM of 614, 354, 977, 672, 350 is 297299536800.
2. How to calculate the LCM of 614, 354, 977, 672, 350?
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 614, 354, 977, 672, 350.
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}.