LCM of 456, 527, 893, 698, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 527, 893, 698, 496 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 456, 527, 893, 698, 496. So, keep reading to learn more.
Given numbers are 456,527,893,698,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,527,893,698,496 is 7883675472.
Find LCM of 456,527,893,698,496 with Prime Factorization
| 2 | 456, 527, 893, 698, 496 |
| 2 | 228, 527, 893, 349, 248 |
| 2 | 114, 527, 893, 349, 124 |
| 19 | 57, 527, 893, 349, 62 |
| 31 | 3, 527, 47, 349, 62 |
| 3, 17, 47, 349, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 31 x 3 x 17 x 47 x 349 x 2 = 7883675472
Therefore, the lowest common multiple of 456,527,893,698,496 is 7883675472.
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.
456 x 527 x 893 x 698 x 496 = 74295757648128
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
527 : 1, 17, 31, 527
893 : 1, 19, 47, 893
698 : 1, 2, 349, 698
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,527,893,698,496, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
527:17x 31
893:19x 47
698:2x 349
496:2x 2x 2x 2x 31
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 19x 31 = 9424
Therefore, the value for common factors is 9424.
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 = 74295757648128/(1x9424)
LCM = 74295757648128/9424
LCM = 7883675472
Thus, we can understand that the LCM of 456,527,893,698,496 is 7883675472.
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FAQs on LCM of 456, 527, 893, 698, 496
1. What is the LCM of 456, 527, 893, 698, 496?
Answer: LCM of 456, 527, 893, 698, 496 is 7883675472.
2. How to calculate the LCM of 456, 527, 893, 698, 496?
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 456, 527, 893, 698, 496.
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}.