LCM of 467, 446, 861, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 446, 861, 302 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, 446, 861, 302. So, keep reading to learn more.
Given numbers are 467,446,861,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,446,861,302 is 27078951102.
Find LCM of 467,446,861,302 with Prime Factorization
| 2 | 467, 446, 861, 302 |
| 467, 223, 861, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 467 x 223 x 861 x 151 = 27078951102
Therefore, the lowest common multiple of 467,446,861,302 is 27078951102.
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 446 x 861 x 302 = 54157902204
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
446 : 1, 2, 223, 446
861 : 1, 3, 7, 21, 41, 123, 287, 861
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,446,861,302, is 1.
Now, the common factors can be found like this.
467:467
446:2x 223
861:3x 7x 41
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 54157902204/(1x2)
LCM = 54157902204/2
LCM = 27078951102
Thus, we can understand that the LCM of 467,446,861,302 is 27078951102.
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FAQs on LCM of 467, 446, 861, 302
1. What is the LCM of 467, 446, 861, 302?
Answer: LCM of 467, 446, 861, 302 is 27078951102.
2. How to calculate the LCM of 467, 446, 861, 302?
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, 446, 861, 302.
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}.