LCM of 510, 894, 238, 965, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 894, 238, 965, 245 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 510, 894, 238, 965, 245. So, keep reading to learn more.
Given numbers are 510,894,238,965,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,894,238,965,245 is 718637430.
Find LCM of 510,894,238,965,245 with Prime Factorization
| 2 | 510, 894, 238, 965, 245 |
| 3 | 255, 447, 119, 965, 245 |
| 5 | 85, 149, 119, 965, 245 |
| 7 | 17, 149, 119, 193, 49 |
| 17 | 17, 149, 17, 193, 7 |
| 1, 149, 1, 193, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 1 x 149 x 1 x 193 x 7 = 718637430
Therefore, the lowest common multiple of 510,894,238,965,245 is 718637430.
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.
510 x 894 x 238 x 965 x 245 = 25655356251000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
894 : 1, 2, 3, 6, 149, 298, 447, 894
238 : 1, 2, 7, 14, 17, 34, 119, 238
965 : 1, 5, 193, 965
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,894,238,965,245, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
894:2x 3x 149
238:2x 7x 17
965:5x 193
245:5x 7x 7
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 3x 5x 5x 7x 17 = 35700
Therefore, the value for common factors is 35700.
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 = 25655356251000/(1x35700)
LCM = 25655356251000/35700
LCM = 718637430
Thus, we can understand that the LCM of 510,894,238,965,245 is 718637430.
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FAQs on LCM of 510, 894, 238, 965, 245
1. What is the LCM of 510, 894, 238, 965, 245?
Answer: LCM of 510, 894, 238, 965, 245 is 718637430.
2. How to calculate the LCM of 510, 894, 238, 965, 245?
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 510, 894, 238, 965, 245.
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}.