LCM of 960, 209, 354, 760, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 209, 354, 760, 219 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 960, 209, 354, 760, 219. So, keep reading to learn more.
Given numbers are 960,209,354,760,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,209,354,760,219 is 864156480.
Find LCM of 960,209,354,760,219 with Prime Factorization
| 2 | 960, 209, 354, 760, 219 |
| 2 | 480, 209, 177, 380, 219 |
| 2 | 240, 209, 177, 190, 219 |
| 3 | 120, 209, 177, 95, 219 |
| 5 | 40, 209, 59, 95, 73 |
| 19 | 8, 209, 59, 19, 73 |
| 8, 11, 59, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 8 x 11 x 59 x 1 x 73 = 864156480
Therefore, the lowest common multiple of 960,209,354,760,219 is 864156480.
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.
960 x 209 x 354 x 760 x 219 = 11821660646400
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
209 : 1, 11, 19, 209
354 : 1, 2, 3, 6, 59, 118, 177, 354
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,209,354,760,219, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
209:11x 19
354:2x 3x 59
760:2x 2x 2x 5x 19
219:3x 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 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 11821660646400/(1x13680)
LCM = 11821660646400/13680
LCM = 864156480
Thus, we can understand that the LCM of 960,209,354,760,219 is 864156480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 960, 209, 354, 760, 219
1. What is the LCM of 960, 209, 354, 760, 219?
Answer: LCM of 960, 209, 354, 760, 219 is 864156480.
2. How to calculate the LCM of 960, 209, 354, 760, 219?
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 960, 209, 354, 760, 219.
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}.