LCM of 679, 414, 132, 228, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 679, 414, 132, 228, 893 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 679, 414, 132, 228, 893. So, keep reading to learn more.
Given numbers are 679,414,132,228,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,414,132,228,893 is 5522608476.
Find LCM of 679,414,132,228,893 with Prime Factorization
| 2 | 679, 414, 132, 228, 893 |
| 2 | 679, 207, 66, 114, 893 |
| 3 | 679, 207, 33, 57, 893 |
| 19 | 679, 69, 11, 19, 893 |
| 679, 69, 11, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 679 x 69 x 11 x 1 x 47 = 5522608476
Therefore, the lowest common multiple of 679,414,132,228,893 is 5522608476.
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.
679 x 414 x 132 x 228 x 893 = 7554928395168
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.
679 : 1, 7, 97, 679
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,414,132,228,893, is 1.
Now, the common factors can be found like this.
679:7x 97
414:2x 3x 3x 23
132:2x 2x 3x 11
228:2x 2x 3x 19
893:19x 47
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 7554928395168/(1x1368)
LCM = 7554928395168/1368
LCM = 5522608476
Thus, we can understand that the LCM of 679,414,132,228,893 is 5522608476.
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FAQs on LCM of 679, 414, 132, 228, 893
1. What is the LCM of 679, 414, 132, 228, 893?
Answer: LCM of 679, 414, 132, 228, 893 is 5522608476.
2. How to calculate the LCM of 679, 414, 132, 228, 893?
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 679, 414, 132, 228, 893.
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}.