LCM of 240, 309, 865, 229, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 309, 865, 229, 965 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 240, 309, 865, 229, 965. So, keep reading to learn more.
Given numbers are 240,309,865,229,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,309,865,229,965 is 189011122320.
Find LCM of 240,309,865,229,965 with Prime Factorization
| 3 | 240, 309, 865, 229, 965 |
| 5 | 80, 103, 865, 229, 965 |
| 16, 103, 173, 229, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 16 x 103 x 173 x 229 x 193 = 189011122320
Therefore, the lowest common multiple of 240,309,865,229,965 is 189011122320.
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.
240 x 309 x 865 x 229 x 965 = 14175834174000
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
309 : 1, 3, 103, 309
865 : 1, 5, 173, 865
229 : 1, 229
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,309,865,229,965, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
309:3x 103
865:5x 173
229:229
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5 = 75
Therefore, the value for common factors is 75.
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 = 14175834174000/(1x75)
LCM = 14175834174000/75
LCM = 189011122320
Thus, we can understand that the LCM of 240,309,865,229,965 is 189011122320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 240, 309, 865, 229, 965
1. What is the LCM of 240, 309, 865, 229, 965?
Answer: LCM of 240, 309, 865, 229, 965 is 189011122320.
2. How to calculate the LCM of 240, 309, 865, 229, 965?
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 240, 309, 865, 229, 965.
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}.