LCM of 137, 551, 456, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 551, 456, 468 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 137, 551, 456, 468. So, keep reading to learn more.
Given numbers are 137,551,456,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,551,456,468 is 70655832.
Find LCM of 137,551,456,468 with Prime Factorization
| 2 | 137, 551, 456, 468 |
| 2 | 137, 551, 228, 234 |
| 3 | 137, 551, 114, 117 |
| 19 | 137, 551, 38, 39 |
| 137, 29, 2, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 137 x 29 x 2 x 39 = 70655832
Therefore, the lowest common multiple of 137,551,456,468 is 70655832.
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.
137 x 551 x 456 x 468 = 16109529696
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.
137 : 1, 137
551 : 1, 19, 29, 551
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,551,456,468, is 1.
Now, the common factors can be found like this.
137:137
551:19x 29
456:2x 2x 2x 3x 19
468:2x 2x 3x 3x 13
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 16109529696/(1x228)
LCM = 16109529696/228
LCM = 70655832
Thus, we can understand that the LCM of 137,551,456,468 is 70655832.
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FAQs on LCM of 137, 551, 456, 468
1. What is the LCM of 137, 551, 456, 468?
Answer: LCM of 137, 551, 456, 468 is 70655832.
2. How to calculate the LCM of 137, 551, 456, 468?
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 137, 551, 456, 468.
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}.