LCM of 240, 221, 767, 295, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 221, 767, 295, 860 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, 221, 767, 295, 860. So, keep reading to learn more.
Given numbers are 240,221,767,295,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,221,767,295,860 is 134562480.
Find LCM of 240,221,767,295,860 with Prime Factorization
| 2 | 240, 221, 767, 295, 860 |
| 2 | 120, 221, 767, 295, 430 |
| 5 | 60, 221, 767, 295, 215 |
| 13 | 12, 221, 767, 59, 43 |
| 59 | 12, 17, 59, 59, 43 |
| 12, 17, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 59 x 12 x 17 x 1 x 1 x 43 = 134562480
Therefore, the lowest common multiple of 240,221,767,295,860 is 134562480.
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 221 x 767 x 295 x 860 = 10320942216000
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
221 : 1, 13, 17, 221
767 : 1, 13, 59, 767
295 : 1, 5, 59, 295
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,221,767,295,860, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
221:13x 17
767:13x 59
295:5x 59
860:2x 2x 5x 43
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 5x 5x 13x 59 = 76700
Therefore, the value for common factors is 76700.
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 = 10320942216000/(1x76700)
LCM = 10320942216000/76700
LCM = 134562480
Thus, we can understand that the LCM of 240,221,767,295,860 is 134562480.
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FAQs on LCM of 240, 221, 767, 295, 860
1. What is the LCM of 240, 221, 767, 295, 860?
Answer: LCM of 240, 221, 767, 295, 860 is 134562480.
2. How to calculate the LCM of 240, 221, 767, 295, 860?
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, 221, 767, 295, 860.
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}.