LCM of 467, 962, 351, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 962, 351, 925 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, 962, 351, 925. So, keep reading to learn more.
Given numbers are 467,962,351,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,962,351,925 is 303246450.
Find LCM of 467,962,351,925 with Prime Factorization
| 13 | 467, 962, 351, 925 |
| 37 | 467, 74, 27, 925 |
| 467, 2, 27, 25 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 467 x 2 x 27 x 25 = 303246450
Therefore, the lowest common multiple of 467,962,351,925 is 303246450.
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 962 x 351 x 925 = 145861542450
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
351 : 1, 3, 9, 13, 27, 39, 117, 351
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,962,351,925, is 1.
Now, the common factors can be found like this.
467:467
962:2x 13x 37
351:3x 3x 3x 13
925:5x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 37 = 481
Therefore, the value for common factors is 481.
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 = 145861542450/(1x481)
LCM = 145861542450/481
LCM = 303246450
Thus, we can understand that the LCM of 467,962,351,925 is 303246450.
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FAQs on LCM of 467, 962, 351, 925
1. What is the LCM of 467, 962, 351, 925?
Answer: LCM of 467, 962, 351, 925 is 303246450.
2. How to calculate the LCM of 467, 962, 351, 925?
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, 962, 351, 925.
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}.