LCM of 219, 147, 368, 931, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 219, 147, 368, 931, 138 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 219, 147, 368, 931, 138. So, keep reading to learn more.
Given numbers are 219,147,368,931,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,147,368,931,138 is 75031152.
Find LCM of 219,147,368,931,138 with Prime Factorization
| 2 | 219, 147, 368, 931, 138 |
| 3 | 219, 147, 184, 931, 69 |
| 7 | 73, 49, 184, 931, 23 |
| 7 | 73, 7, 184, 133, 23 |
| 23 | 73, 1, 184, 19, 23 |
| 73, 1, 8, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 23 x 73 x 1 x 8 x 19 x 1 = 75031152
Therefore, the lowest common multiple of 219,147,368,931,138 is 75031152.
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.
219 x 147 x 368 x 931 x 138 = 1522081949472
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.
219 : 1, 3, 73, 219
147 : 1, 3, 7, 21, 49, 147
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
931 : 1, 7, 19, 49, 133, 931
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,147,368,931,138, is 1.
Now, the common factors can be found like this.
219:3x 73
147:3x 7x 7
368:2x 2x 2x 2x 23
931:7x 7x 19
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7x 23 = 20286
Therefore, the value for common factors is 20286.
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 = 1522081949472/(1x20286)
LCM = 1522081949472/20286
LCM = 75031152
Thus, we can understand that the LCM of 219,147,368,931,138 is 75031152.
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FAQs on LCM of 219, 147, 368, 931, 138
1. What is the LCM of 219, 147, 368, 931, 138?
Answer: LCM of 219, 147, 368, 931, 138 is 75031152.
2. How to calculate the LCM of 219, 147, 368, 931, 138?
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 219, 147, 368, 931, 138.
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}.