LCM of 264, 894, 672, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 894, 672, 425 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 264, 894, 672, 425. So, keep reading to learn more.
Given numbers are 264,894,672,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,894,672,425 is 468098400.
Find LCM of 264,894,672,425 with Prime Factorization
| 2 | 264, 894, 672, 425 |
| 2 | 132, 447, 336, 425 |
| 2 | 66, 447, 168, 425 |
| 3 | 33, 447, 84, 425 |
| 11, 149, 28, 425 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 149 x 28 x 425 = 468098400
Therefore, the lowest common multiple of 264,894,672,425 is 468098400.
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.
264 x 894 x 672 x 425 = 67406169600
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
894 : 1, 2, 3, 6, 149, 298, 447, 894
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
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,894,672,425, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
894:2x 3x 149
672:2x 2x 2x 2x 2x 3x 7
425:5x 5x 17
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 67406169600/(1x144)
LCM = 67406169600/144
LCM = 468098400
Thus, we can understand that the LCM of 264,894,672,425 is 468098400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 894, 672, 425
1. What is the LCM of 264, 894, 672, 425?
Answer: LCM of 264, 894, 672, 425 is 468098400.
2. How to calculate the LCM of 264, 894, 672, 425?
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 264, 894, 672, 425.
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}.