LCM of 293, 420, 965, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 420, 965, 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 293, 420, 965, 219. So, keep reading to learn more.
Given numbers are 293,420,965,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,420,965,219 is 1733792340.
Find LCM of 293,420,965,219 with Prime Factorization
| 3 | 293, 420, 965, 219 |
| 5 | 293, 140, 965, 73 |
| 293, 28, 193, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 293 x 28 x 193 x 73 = 1733792340
Therefore, the lowest common multiple of 293,420,965,219 is 1733792340.
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.
293 x 420 x 965 x 219 = 26006885100
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.
293 : 1, 293
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
965 : 1, 5, 193, 965
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,420,965,219, is 1.
Now, the common factors can be found like this.
293:293
420:2x 2x 3x 5x 7
965:5x 193
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.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 26006885100/(1x15)
LCM = 26006885100/15
LCM = 1733792340
Thus, we can understand that the LCM of 293,420,965,219 is 1733792340.
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FAQs on LCM of 293, 420, 965, 219
1. What is the LCM of 293, 420, 965, 219?
Answer: LCM of 293, 420, 965, 219 is 1733792340.
2. How to calculate the LCM of 293, 420, 965, 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 293, 420, 965, 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}.