LCM of 467, 694, 301, 994, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 694, 301, 994, 164 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 467, 694, 301, 994, 164. So, keep reading to learn more.
Given numbers are 467,694,301,994,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,694,301,994,164 is 567956465356.
Find LCM of 467,694,301,994,164 with Prime Factorization
| 2 | 467, 694, 301, 994, 164 |
| 7 | 467, 347, 301, 497, 82 |
| 467, 347, 43, 71, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 467 x 347 x 43 x 71 x 82 = 567956465356
Therefore, the lowest common multiple of 467,694,301,994,164 is 567956465356.
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.
467 x 694 x 301 x 994 x 164 = 15902781029968
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.
467 : 1, 467
694 : 1, 2, 347, 694
301 : 1, 7, 43, 301
994 : 1, 2, 7, 14, 71, 142, 497, 994
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,694,301,994,164, is 1.
Now, the common factors can be found like this.
467:467
694:2x 347
301:7x 43
994:2x 7x 71
164:2x 2x 41
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 7 = 28
Therefore, the value for common factors is 28.
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 = 15902781029968/(1x28)
LCM = 15902781029968/28
LCM = 567956465356
Thus, we can understand that the LCM of 467,694,301,994,164 is 567956465356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 694, 301, 994, 164
1. What is the LCM of 467, 694, 301, 994, 164?
Answer: LCM of 467, 694, 301, 994, 164 is 567956465356.
2. How to calculate the LCM of 467, 694, 301, 994, 164?
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 467, 694, 301, 994, 164.
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}.