LCM of 467, 492, 256, 911, 287
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 492, 256, 911, 287 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, 492, 256, 911, 287. So, keep reading to learn more.
Given numbers are 467,492,256,911,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,492,256,911,287 is 93773121792.
Find LCM of 467,492,256,911,287 with Prime Factorization
| 2 | 467, 492, 256, 911, 287 |
| 2 | 467, 246, 128, 911, 287 |
| 41 | 467, 123, 64, 911, 287 |
| 467, 3, 64, 911, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 467 x 3 x 64 x 911 x 7 = 93773121792
Therefore, the lowest common multiple of 467,492,256,911,287 is 93773121792.
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 492 x 256 x 911 x 287 = 15378791973888
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
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
911 : 1, 911
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,492,256,911,287, is 1.
Now, the common factors can be found like this.
467:467
492:2x 2x 3x 41
256:2x 2x 2x 2x 2x 2x 2x 2
911:911
287:7x 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 41 = 164
Therefore, the value for common factors is 164.
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 = 15378791973888/(1x164)
LCM = 15378791973888/164
LCM = 93773121792
Thus, we can understand that the LCM of 467,492,256,911,287 is 93773121792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 492, 256, 911, 287
1. What is the LCM of 467, 492, 256, 911, 287?
Answer: LCM of 467, 492, 256, 911, 287 is 93773121792.
2. How to calculate the LCM of 467, 492, 256, 911, 287?
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, 492, 256, 911, 287.
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}.