LCM of 893, 672, 238, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 672, 238, 440 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 893, 672, 238, 440. So, keep reading to learn more.
Given numbers are 893,672,238,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,672,238,440 is 561089760.
Find LCM of 893,672,238,440 with Prime Factorization
| 2 | 893, 672, 238, 440 |
| 2 | 893, 336, 119, 220 |
| 2 | 893, 168, 119, 110 |
| 7 | 893, 84, 119, 55 |
| 893, 12, 17, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 893 x 12 x 17 x 55 = 561089760
Therefore, the lowest common multiple of 893,672,238,440 is 561089760.
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.
893 x 672 x 238 x 440 = 62842053120
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.
893 : 1, 19, 47, 893
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
238 : 1, 2, 7, 14, 17, 34, 119, 238
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,672,238,440, is 1.
Now, the common factors can be found like this.
893:19x 47
672:2x 2x 2x 2x 2x 3x 7
238:2x 7x 17
440:2x 2x 2x 5x 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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 62842053120/(1x112)
LCM = 62842053120/112
LCM = 561089760
Thus, we can understand that the LCM of 893,672,238,440 is 561089760.
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FAQs on LCM of 893, 672, 238, 440
1. What is the LCM of 893, 672, 238, 440?
Answer: LCM of 893, 672, 238, 440 is 561089760.
2. How to calculate the LCM of 893, 672, 238, 440?
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 893, 672, 238, 440.
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}.