LCM of 144, 373, 312, 165, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 373, 312, 165, 202 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 144, 373, 312, 165, 202. So, keep reading to learn more.
Given numbers are 144,373,312,165,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,373,312,165,202 is 3878812080.
Find LCM of 144,373,312,165,202 with Prime Factorization
| 2 | 144, 373, 312, 165, 202 |
| 2 | 72, 373, 156, 165, 101 |
| 2 | 36, 373, 78, 165, 101 |
| 3 | 18, 373, 39, 165, 101 |
| 6, 373, 13, 55, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 6 x 373 x 13 x 55 x 101 = 3878812080
Therefore, the lowest common multiple of 144,373,312,165,202 is 3878812080.
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.
144 x 373 x 312 x 165 x 202 = 558548939520
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
373 : 1, 373
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
165 : 1, 3, 5, 11, 15, 33, 55, 165
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,373,312,165,202, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
373:373
312:2x 2x 2x 3x 13
165:3x 5x 11
202:2x 101
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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 558548939520/(1x144)
LCM = 558548939520/144
LCM = 3878812080
Thus, we can understand that the LCM of 144,373,312,165,202 is 3878812080.
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FAQs on LCM of 144, 373, 312, 165, 202
1. What is the LCM of 144, 373, 312, 165, 202?
Answer: LCM of 144, 373, 312, 165, 202 is 3878812080.
2. How to calculate the LCM of 144, 373, 312, 165, 202?
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 144, 373, 312, 165, 202.
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}.