LCM of 294, 150, 360, 905, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 150, 360, 905, 964 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 294, 150, 360, 905, 964. So, keep reading to learn more.
Given numbers are 294,150,360,905,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,150,360,905,964 is 3847372200.
Find LCM of 294,150,360,905,964 with Prime Factorization
| 2 | 294, 150, 360, 905, 964 |
| 2 | 147, 75, 180, 905, 482 |
| 3 | 147, 75, 90, 905, 241 |
| 5 | 49, 25, 30, 905, 241 |
| 49, 5, 6, 181, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 49 x 5 x 6 x 181 x 241 = 3847372200
Therefore, the lowest common multiple of 294,150,360,905,964 is 3847372200.
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.
294 x 150 x 360 x 905 x 964 = 13850539920000
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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
905 : 1, 5, 181, 905
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,150,360,905,964, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
150:2x 3x 5x 5
360:2x 2x 2x 3x 3x 5
905:5x 181
964:2x 2x 241
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 5 = 3600
Therefore, the value for common factors is 3600.
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 = 13850539920000/(1x3600)
LCM = 13850539920000/3600
LCM = 3847372200
Thus, we can understand that the LCM of 294,150,360,905,964 is 3847372200.
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FAQs on LCM of 294, 150, 360, 905, 964
1. What is the LCM of 294, 150, 360, 905, 964?
Answer: LCM of 294, 150, 360, 905, 964 is 3847372200.
2. How to calculate the LCM of 294, 150, 360, 905, 964?
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 294, 150, 360, 905, 964.
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}.