LCM of 951, 234, 245, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 234, 245, 350 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 951, 234, 245, 350. So, keep reading to learn more.
Given numbers are 951,234,245,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,234,245,350 is 90868050.
Find LCM of 951,234,245,350 with Prime Factorization
| 2 | 951, 234, 245, 350 |
| 3 | 951, 117, 245, 175 |
| 5 | 317, 39, 245, 175 |
| 7 | 317, 39, 49, 35 |
| 317, 39, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 317 x 39 x 7 x 5 = 90868050
Therefore, the lowest common multiple of 951,234,245,350 is 90868050.
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.
951 x 234 x 245 x 350 = 19082290500
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.
951 : 1, 3, 317, 951
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
245 : 1, 5, 7, 35, 49, 245
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,234,245,350, is 1.
Now, the common factors can be found like this.
951:3x 317
234:2x 3x 3x 13
245:5x 7x 7
350:2x 5x 5x 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 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 19082290500/(1x210)
LCM = 19082290500/210
LCM = 90868050
Thus, we can understand that the LCM of 951,234,245,350 is 90868050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 951, 234, 245, 350
1. What is the LCM of 951, 234, 245, 350?
Answer: LCM of 951, 234, 245, 350 is 90868050.
2. How to calculate the LCM of 951, 234, 245, 350?
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 951, 234, 245, 350.
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}.