LCM of 922, 928, 672, 494, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 922, 928, 672, 494, 435 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 922, 928, 672, 494, 435. So, keep reading to learn more.
Given numbers are 922,928,672,494,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,928,672,494,435 is 11095200480.
Find LCM of 922,928,672,494,435 with Prime Factorization
| 2 | 922, 928, 672, 494, 435 |
| 2 | 461, 464, 336, 247, 435 |
| 2 | 461, 232, 168, 247, 435 |
| 2 | 461, 116, 84, 247, 435 |
| 2 | 461, 58, 42, 247, 435 |
| 3 | 461, 29, 21, 247, 435 |
| 29 | 461, 29, 7, 247, 145 |
| 461, 1, 7, 247, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 29 x 461 x 1 x 7 x 247 x 5 = 11095200480
Therefore, the lowest common multiple of 922,928,672,494,435 is 11095200480.
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.
922 x 928 x 672 x 494 x 435 = 123556152545280
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.
922 : 1, 2, 461, 922
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
494 : 1, 2, 13, 19, 26, 38, 247, 494
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,928,672,494,435, is 1.
Now, the common factors can be found like this.
922:2x 461
928:2x 2x 2x 2x 2x 29
672:2x 2x 2x 2x 2x 3x 7
494:2x 13x 19
435:3x 5x 29
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 2x 2x 2x 3x 29 = 11136
Therefore, the value for common factors is 11136.
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 = 123556152545280/(1x11136)
LCM = 123556152545280/11136
LCM = 11095200480
Thus, we can understand that the LCM of 922,928,672,494,435 is 11095200480.
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FAQs on LCM of 922, 928, 672, 494, 435
1. What is the LCM of 922, 928, 672, 494, 435?
Answer: LCM of 922, 928, 672, 494, 435 is 11095200480.
2. How to calculate the LCM of 922, 928, 672, 494, 435?
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 922, 928, 672, 494, 435.
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}.