LCM of 654, 456, 988, 560, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 456, 988, 560, 119 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 654, 456, 988, 560, 119. So, keep reading to learn more.
Given numbers are 654,456,988,560,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,456,988,560,119 is 768920880.
Find LCM of 654,456,988,560,119 with Prime Factorization
| 2 | 654, 456, 988, 560, 119 |
| 2 | 327, 228, 494, 280, 119 |
| 2 | 327, 114, 247, 140, 119 |
| 3 | 327, 57, 247, 70, 119 |
| 7 | 109, 19, 247, 70, 119 |
| 19 | 109, 19, 247, 10, 17 |
| 109, 1, 13, 10, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 109 x 1 x 13 x 10 x 17 = 768920880
Therefore, the lowest common multiple of 654,456,988,560,119 is 768920880.
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.
654 x 456 x 988 x 560 x 119 = 19635163591680
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,456,988,560,119, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
456:2x 2x 2x 3x 19
988:2x 2x 13x 19
560:2x 2x 2x 2x 5x 7
119:7x 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 2x 2x 3x 7x 19 = 25536
Therefore, the value for common factors is 25536.
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 = 19635163591680/(1x25536)
LCM = 19635163591680/25536
LCM = 768920880
Thus, we can understand that the LCM of 654,456,988,560,119 is 768920880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 456, 988, 560, 119
1. What is the LCM of 654, 456, 988, 560, 119?
Answer: LCM of 654, 456, 988, 560, 119 is 768920880.
2. How to calculate the LCM of 654, 456, 988, 560, 119?
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 654, 456, 988, 560, 119.
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}.