LCM of 454, 759, 454, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 759, 454, 528 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 454, 759, 454, 528. So, keep reading to learn more.
Given numbers are 454,759,454,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,759,454,528 is 2756688.
Find LCM of 454,759,454,528 with Prime Factorization
| 2 | 454, 759, 454, 528 |
| 3 | 227, 759, 227, 264 |
| 11 | 227, 253, 227, 88 |
| 227 | 227, 23, 227, 8 |
| 1, 23, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 227 x 1 x 23 x 1 x 8 = 2756688
Therefore, the lowest common multiple of 454,759,454,528 is 2756688.
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.
454 x 759 x 454 x 528 = 82601399232
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.
454 : 1, 2, 227, 454
759 : 1, 3, 11, 23, 33, 69, 253, 759
454 : 1, 2, 227, 454
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,759,454,528, is 1.
Now, the common factors can be found like this.
454:2x 227
759:3x 11x 23
454:2x 227
528:2x 2x 2x 2x 3x 11
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 3x 11x 227 = 29964
Therefore, the value for common factors is 29964.
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 = 82601399232/(1x29964)
LCM = 82601399232/29964
LCM = 2756688
Thus, we can understand that the LCM of 454,759,454,528 is 2756688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 759, 454, 528
1. What is the LCM of 454, 759, 454, 528?
Answer: LCM of 454, 759, 454, 528 is 2756688.
2. How to calculate the LCM of 454, 759, 454, 528?
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 454, 759, 454, 528.
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}.