LCM of 293, 748, 420, 110, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 748, 420, 110, 150 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, 748, 420, 110, 150. So, keep reading to learn more.
Given numbers are 293,748,420,110,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,748,420,110,150 is 115061100.
Find LCM of 293,748,420,110,150 with Prime Factorization
| 2 | 293, 748, 420, 110, 150 |
| 2 | 293, 374, 210, 55, 75 |
| 3 | 293, 187, 105, 55, 75 |
| 5 | 293, 187, 35, 55, 25 |
| 11 | 293, 187, 7, 11, 5 |
| 293, 17, 7, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 293 x 17 x 7 x 1 x 5 = 115061100
Therefore, the lowest common multiple of 293,748,420,110,150 is 115061100.
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 748 x 420 x 110 x 150 = 1518806520000
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
110 : 1, 2, 5, 10, 11, 22, 55, 110
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,748,420,110,150, is 1.
Now, the common factors can be found like this.
293:293
748:2x 2x 11x 17
420:2x 2x 3x 5x 7
110:2x 5x 11
150:2x 3x 5x 5
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 5x 5x 11 = 13200
Therefore, the value for common factors is 13200.
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 = 1518806520000/(1x13200)
LCM = 1518806520000/13200
LCM = 115061100
Thus, we can understand that the LCM of 293,748,420,110,150 is 115061100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 293, 748, 420, 110, 150
1. What is the LCM of 293, 748, 420, 110, 150?
Answer: LCM of 293, 748, 420, 110, 150 is 115061100.
2. How to calculate the LCM of 293, 748, 420, 110, 150?
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, 748, 420, 110, 150.
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}.