LCM of 154, 686, 807, 407, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 686, 807, 407, 463 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 154, 686, 807, 407, 463. So, keep reading to learn more.
Given numbers are 154,686,807,407,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,686,807,407,463 is 104321314482.
Find LCM of 154,686,807,407,463 with Prime Factorization
| 2 | 154, 686, 807, 407, 463 |
| 7 | 77, 343, 807, 407, 463 |
| 11 | 11, 49, 807, 407, 463 |
| 1, 49, 807, 37, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 1 x 49 x 807 x 37 x 463 = 104321314482
Therefore, the lowest common multiple of 154,686,807,407,463 is 104321314482.
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.
154 x 686 x 807 x 407 x 463 = 16065482430228
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
686 : 1, 2, 7, 14, 49, 98, 343, 686
807 : 1, 3, 269, 807
407 : 1, 11, 37, 407
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,686,807,407,463, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
686:2x 7x 7x 7
807:3x 269
407:11x 37
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 16065482430228/(1x154)
LCM = 16065482430228/154
LCM = 104321314482
Thus, we can understand that the LCM of 154,686,807,407,463 is 104321314482.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 686, 807, 407, 463
1. What is the LCM of 154, 686, 807, 407, 463?
Answer: LCM of 154, 686, 807, 407, 463 is 104321314482.
2. How to calculate the LCM of 154, 686, 807, 407, 463?
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 154, 686, 807, 407, 463.
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}.