LCM of 924, 962, 875, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 962, 875, 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 924, 962, 875, 454. So, keep reading to learn more.
Given numbers are 924,962,875,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,962,875,454 is 12611098500.
Find LCM of 924,962,875,454 with Prime Factorization
| 2 | 924, 962, 875, 454 |
| 7 | 462, 481, 875, 227 |
| 66, 481, 125, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 66 x 481 x 125 x 227 = 12611098500
Therefore, the lowest common multiple of 924,962,875,454 is 12611098500.
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.
924 x 962 x 875 x 454 = 353110758000
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
962 : 1, 2, 13, 26, 37, 74, 481, 962
875 : 1, 5, 7, 25, 35, 125, 175, 875
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,962,875,454, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
962:2x 13x 37
875:5x 5x 5x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 353110758000/(1x28)
LCM = 353110758000/28
LCM = 12611098500
Thus, we can understand that the LCM of 924,962,875,454 is 12611098500.
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FAQs on LCM of 924, 962, 875, 454
1. What is the LCM of 924, 962, 875, 454?
Answer: LCM of 924, 962, 875, 454 is 12611098500.
2. How to calculate the LCM of 924, 962, 875, 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 924, 962, 875, 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}.