LCM of 137, 924, 959, 168, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 924, 959, 168, 474 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, 924, 959, 168, 474. So, keep reading to learn more.
Given numbers are 137,924,959,168,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,924,959,168,474 is 20000904.
Find LCM of 137,924,959,168,474 with Prime Factorization
| 2 | 137, 924, 959, 168, 474 |
| 2 | 137, 462, 959, 84, 237 |
| 3 | 137, 231, 959, 42, 237 |
| 7 | 137, 77, 959, 14, 79 |
| 137 | 137, 11, 137, 2, 79 |
| 1, 11, 1, 2, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 137 x 1 x 11 x 1 x 2 x 79 = 20000904
Therefore, the lowest common multiple of 137,924,959,168,474 is 20000904.
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 924 x 959 x 168 x 474 = 9667156935744
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
959 : 1, 7, 137, 959
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,924,959,168,474, is 1.
Now, the common factors can be found like this.
137:137
924:2x 2x 3x 7x 11
959:7x 137
168:2x 2x 2x 3x 7
474:2x 3x 79
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 137 = 483336
Therefore, the value for common factors is 483336.
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 = 9667156935744/(1x483336)
LCM = 9667156935744/483336
LCM = 20000904
Thus, we can understand that the LCM of 137,924,959,168,474 is 20000904.
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FAQs on LCM of 137, 924, 959, 168, 474
1. What is the LCM of 137, 924, 959, 168, 474?
Answer: LCM of 137, 924, 959, 168, 474 is 20000904.
2. How to calculate the LCM of 137, 924, 959, 168, 474?
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, 924, 959, 168, 474.
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}.