LCM of 139, 680, 975, 136, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 680, 975, 136, 803 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 139, 680, 975, 136, 803. So, keep reading to learn more.
Given numbers are 139,680,975,136,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,680,975,136,803 is 14800414200.
Find LCM of 139,680,975,136,803 with Prime Factorization
| 2 | 139, 680, 975, 136, 803 |
| 2 | 139, 340, 975, 68, 803 |
| 2 | 139, 170, 975, 34, 803 |
| 5 | 139, 85, 975, 17, 803 |
| 17 | 139, 17, 195, 17, 803 |
| 139, 1, 195, 1, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 139 x 1 x 195 x 1 x 803 = 14800414200
Therefore, the lowest common multiple of 139,680,975,136,803 is 14800414200.
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.
139 x 680 x 975 x 136 x 803 = 10064281656000
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.
139 : 1, 139
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
136 : 1, 2, 4, 8, 17, 34, 68, 136
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,680,975,136,803, is 1.
Now, the common factors can be found like this.
139:139
680:2x 2x 2x 5x 17
975:3x 5x 5x 13
136:2x 2x 2x 17
803:11x 73
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 10064281656000/(1x680)
LCM = 10064281656000/680
LCM = 14800414200
Thus, we can understand that the LCM of 139,680,975,136,803 is 14800414200.
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FAQs on LCM of 139, 680, 975, 136, 803
1. What is the LCM of 139, 680, 975, 136, 803?
Answer: LCM of 139, 680, 975, 136, 803 is 14800414200.
2. How to calculate the LCM of 139, 680, 975, 136, 803?
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 139, 680, 975, 136, 803.
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}.