LCM of 534, 688, 678, 587, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 688, 678, 587, 454 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 534, 688, 678, 587, 454. So, keep reading to learn more.
Given numbers are 534,688,678,587,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,688,678,587,454 is 2765935838352.
Find LCM of 534,688,678,587,454 with Prime Factorization
| 2 | 534, 688, 678, 587, 454 |
| 3 | 267, 344, 339, 587, 227 |
| 89, 344, 113, 587, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 89 x 344 x 113 x 587 x 227 = 2765935838352
Therefore, the lowest common multiple of 534,688,678,587,454 is 2765935838352.
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.
534 x 688 x 678 x 587 x 454 = 66382460120448
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
678 : 1, 2, 3, 6, 113, 226, 339, 678
587 : 1, 587
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,688,678,587,454, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
688:2x 2x 2x 2x 43
678:2x 3x 113
587:587
454:2x 227
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 3 = 24
Therefore, the value for common factors is 24.
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 = 66382460120448/(1x24)
LCM = 66382460120448/24
LCM = 2765935838352
Thus, we can understand that the LCM of 534,688,678,587,454 is 2765935838352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 534, 688, 678, 587, 454
1. What is the LCM of 534, 688, 678, 587, 454?
Answer: LCM of 534, 688, 678, 587, 454 is 2765935838352.
2. How to calculate the LCM of 534, 688, 678, 587, 454?
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 534, 688, 678, 587, 454.
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}.