LCM of 420, 678, 977, 681, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 678, 977, 681, 732 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 420, 678, 977, 681, 732. So, keep reading to learn more.
Given numbers are 420,678,977,681,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,678,977,681,732 is 642063511740.
Find LCM of 420,678,977,681,732 with Prime Factorization
| 2 | 420, 678, 977, 681, 732 |
| 2 | 210, 339, 977, 681, 366 |
| 3 | 105, 339, 977, 681, 183 |
| 35, 113, 977, 227, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 35 x 113 x 977 x 227 x 61 = 642063511740
Therefore, the lowest common multiple of 420,678,977,681,732 is 642063511740.
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.
420 x 678 x 977 x 681 x 732 = 138685718535840
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.
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
977 : 1, 977
681 : 1, 3, 227, 681
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,678,977,681,732, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
678:2x 3x 113
977:977
681:3x 227
732:2x 2x 3x 61
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 3 = 216
Therefore, the value for common factors is 216.
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 = 138685718535840/(1x216)
LCM = 138685718535840/216
LCM = 642063511740
Thus, we can understand that the LCM of 420,678,977,681,732 is 642063511740.
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FAQs on LCM of 420, 678, 977, 681, 732
1. What is the LCM of 420, 678, 977, 681, 732?
Answer: LCM of 420, 678, 977, 681, 732 is 642063511740.
2. How to calculate the LCM of 420, 678, 977, 681, 732?
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 420, 678, 977, 681, 732.
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}.