LCM of 969, 278, 735, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 278, 735, 285 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 969, 278, 735, 285. So, keep reading to learn more.
Given numbers are 969,278,735,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,278,735,285 is 65998590.
Find LCM of 969,278,735,285 with Prime Factorization
| 3 | 969, 278, 735, 285 |
| 5 | 323, 278, 245, 95 |
| 19 | 323, 278, 49, 19 |
| 17, 278, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 17 x 278 x 49 x 1 = 65998590
Therefore, the lowest common multiple of 969,278,735,285 is 65998590.
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.
969 x 278 x 735 x 285 = 56428794450
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
278 : 1, 2, 139, 278
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,278,735,285, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
278:2x 139
735:3x 5x 7x 7
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19 = 855
Therefore, the value for common factors is 855.
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 = 56428794450/(1x855)
LCM = 56428794450/855
LCM = 65998590
Thus, we can understand that the LCM of 969,278,735,285 is 65998590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 278, 735, 285
1. What is the LCM of 969, 278, 735, 285?
Answer: LCM of 969, 278, 735, 285 is 65998590.
2. How to calculate the LCM of 969, 278, 735, 285?
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 969, 278, 735, 285.
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}.