LCM of 694, 381, 576, 688, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 381, 576, 688, 152 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 694, 381, 576, 688, 152. So, keep reading to learn more.
Given numbers are 694,381,576,688,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,381,576,688,152 is 20738518848.
Find LCM of 694,381,576,688,152 with Prime Factorization
| 2 | 694, 381, 576, 688, 152 |
| 2 | 347, 381, 288, 344, 76 |
| 2 | 347, 381, 144, 172, 38 |
| 2 | 347, 381, 72, 86, 19 |
| 3 | 347, 381, 36, 43, 19 |
| 347, 127, 12, 43, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 347 x 127 x 12 x 43 x 19 = 20738518848
Therefore, the lowest common multiple of 694,381,576,688,152 is 20738518848.
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.
694 x 381 x 576 x 688 x 152 = 15927182475264
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.
694 : 1, 2, 347, 694
381 : 1, 3, 127, 381
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,381,576,688,152, is 1.
Now, the common factors can be found like this.
694:2x 347
381:3x 127
576:2x 2x 2x 2x 2x 2x 3x 3
688:2x 2x 2x 2x 43
152:2x 2x 2x 19
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 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 15927182475264/(1x768)
LCM = 15927182475264/768
LCM = 20738518848
Thus, we can understand that the LCM of 694,381,576,688,152 is 20738518848.
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FAQs on LCM of 694, 381, 576, 688, 152
1. What is the LCM of 694, 381, 576, 688, 152?
Answer: LCM of 694, 381, 576, 688, 152 is 20738518848.
2. How to calculate the LCM of 694, 381, 576, 688, 152?
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 694, 381, 576, 688, 152.
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}.