LCM of 109, 669, 135, 360, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 669, 135, 360, 142 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 109, 669, 135, 360, 142. So, keep reading to learn more.
Given numbers are 109,669,135,360,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,669,135,360,142 is 1863860760.
Find LCM of 109,669,135,360,142 with Prime Factorization
| 2 | 109, 669, 135, 360, 142 |
| 3 | 109, 669, 135, 180, 71 |
| 3 | 109, 223, 45, 60, 71 |
| 5 | 109, 223, 15, 20, 71 |
| 109, 223, 3, 4, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 109 x 223 x 3 x 4 x 71 = 1863860760
Therefore, the lowest common multiple of 109,669,135,360,142 is 1863860760.
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.
109 x 669 x 135 x 360 x 142 = 503242405200
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.
109 : 1, 109
669 : 1, 3, 223, 669
135 : 1, 3, 5, 9, 15, 27, 45, 135
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,669,135,360,142, is 1.
Now, the common factors can be found like this.
109:109
669:3x 223
135:3x 3x 3x 5
360:2x 2x 2x 3x 3x 5
142:2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 503242405200/(1x270)
LCM = 503242405200/270
LCM = 1863860760
Thus, we can understand that the LCM of 109,669,135,360,142 is 1863860760.
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FAQs on LCM of 109, 669, 135, 360, 142
1. What is the LCM of 109, 669, 135, 360, 142?
Answer: LCM of 109, 669, 135, 360, 142 is 1863860760.
2. How to calculate the LCM of 109, 669, 135, 360, 142?
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 109, 669, 135, 360, 142.
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}.