LCM of 398, 627, 456, 256, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 627, 456, 256, 759 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 398, 627, 456, 256, 759. So, keep reading to learn more.
Given numbers are 398,627,456,256,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,627,456,256,759 is 734663424.
Find LCM of 398,627,456,256,759 with Prime Factorization
| 2 | 398, 627, 456, 256, 759 |
| 2 | 199, 627, 228, 128, 759 |
| 2 | 199, 627, 114, 64, 759 |
| 3 | 199, 627, 57, 32, 759 |
| 11 | 199, 209, 19, 32, 253 |
| 19 | 199, 19, 19, 32, 23 |
| 199, 1, 1, 32, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 199 x 1 x 1 x 32 x 23 = 734663424
Therefore, the lowest common multiple of 398,627,456,256,759 is 734663424.
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.
398 x 627 x 456 x 256 x 759 = 22110430408704
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.
398 : 1, 2, 199, 398
627 : 1, 3, 11, 19, 33, 57, 209, 627
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,627,456,256,759, is 1.
Now, the common factors can be found like this.
398:2x 199
627:3x 11x 19
456:2x 2x 2x 3x 19
256:2x 2x 2x 2x 2x 2x 2x 2
759:3x 11x 23
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 2x 2x 3x 3x 11x 19 = 30096
Therefore, the value for common factors is 30096.
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 = 22110430408704/(1x30096)
LCM = 22110430408704/30096
LCM = 734663424
Thus, we can understand that the LCM of 398,627,456,256,759 is 734663424.
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FAQs on LCM of 398, 627, 456, 256, 759
1. What is the LCM of 398, 627, 456, 256, 759?
Answer: LCM of 398, 627, 456, 256, 759 is 734663424.
2. How to calculate the LCM of 398, 627, 456, 256, 759?
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 398, 627, 456, 256, 759.
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}.