LCM of 315, 749, 214, 318, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 749, 214, 318, 135 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 315, 749, 214, 318, 135. So, keep reading to learn more.
Given numbers are 315,749,214,318,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,749,214,318,135 is 10718190.
Find LCM of 315,749,214,318,135 with Prime Factorization
| 2 | 315, 749, 214, 318, 135 |
| 3 | 315, 749, 107, 159, 135 |
| 3 | 105, 749, 107, 53, 45 |
| 5 | 35, 749, 107, 53, 15 |
| 7 | 7, 749, 107, 53, 3 |
| 107 | 1, 107, 107, 53, 3 |
| 1, 1, 1, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 107 x 1 x 1 x 1 x 53 x 3 = 10718190
Therefore, the lowest common multiple of 315,749,214,318,135 is 10718190.
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.
315 x 749 x 214 x 318 x 135 = 2167539563700
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
749 : 1, 7, 107, 749
214 : 1, 2, 107, 214
318 : 1, 2, 3, 6, 53, 106, 159, 318
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,749,214,318,135, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
749:7x 107
214:2x 107
318:2x 3x 53
135:3x 3x 3x 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 3x 3x 3x 5x 7x 107 = 202230
Therefore, the value for common factors is 202230.
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 = 2167539563700/(1x202230)
LCM = 2167539563700/202230
LCM = 10718190
Thus, we can understand that the LCM of 315,749,214,318,135 is 10718190.
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FAQs on LCM of 315, 749, 214, 318, 135
1. What is the LCM of 315, 749, 214, 318, 135?
Answer: LCM of 315, 749, 214, 318, 135 is 10718190.
2. How to calculate the LCM of 315, 749, 214, 318, 135?
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 315, 749, 214, 318, 135.
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}.