LCM of 764, 260, 105, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 260, 105, 278 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 764, 260, 105, 278. So, keep reading to learn more.
Given numbers are 764,260,105,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,260,105,278 is 144957540.
Find LCM of 764,260,105,278 with Prime Factorization
| 2 | 764, 260, 105, 278 |
| 2 | 382, 130, 105, 139 |
| 5 | 191, 65, 105, 139 |
| 191, 13, 21, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 191 x 13 x 21 x 139 = 144957540
Therefore, the lowest common multiple of 764,260,105,278 is 144957540.
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.
764 x 260 x 105 x 278 = 5798301600
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.
764 : 1, 2, 4, 191, 382, 764
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
105 : 1, 3, 5, 7, 15, 21, 35, 105
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,260,105,278, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
260:2x 2x 5x 13
105:3x 5x 7
278:2x 139
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 5 = 40
Therefore, the value for common factors is 40.
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 = 5798301600/(1x40)
LCM = 5798301600/40
LCM = 144957540
Thus, we can understand that the LCM of 764,260,105,278 is 144957540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 260, 105, 278
1. What is the LCM of 764, 260, 105, 278?
Answer: LCM of 764, 260, 105, 278 is 144957540.
2. How to calculate the LCM of 764, 260, 105, 278?
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 764, 260, 105, 278.
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}.