LCM of 312, 654, 161, 921, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 654, 161, 921, 154 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 312, 654, 161, 921, 154. So, keep reading to learn more.
Given numbers are 312,654,161,921,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,654,161,921,154 is 18490047576.
Find LCM of 312,654,161,921,154 with Prime Factorization
| 2 | 312, 654, 161, 921, 154 |
| 3 | 156, 327, 161, 921, 77 |
| 7 | 52, 109, 161, 307, 77 |
| 52, 109, 23, 307, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 52 x 109 x 23 x 307 x 11 = 18490047576
Therefore, the lowest common multiple of 312,654,161,921,154 is 18490047576.
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.
312 x 654 x 161 x 921 x 154 = 4659491989152
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
654 : 1, 2, 3, 6, 109, 218, 327, 654
161 : 1, 7, 23, 161
921 : 1, 3, 307, 921
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,654,161,921,154, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
654:2x 3x 109
161:7x 23
921:3x 307
154:2x 7x 11
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 4659491989152/(1x252)
LCM = 4659491989152/252
LCM = 18490047576
Thus, we can understand that the LCM of 312,654,161,921,154 is 18490047576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 654, 161, 921, 154
1. What is the LCM of 312, 654, 161, 921, 154?
Answer: LCM of 312, 654, 161, 921, 154 is 18490047576.
2. How to calculate the LCM of 312, 654, 161, 921, 154?
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 312, 654, 161, 921, 154.
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}.