LCM of 278, 407, 760, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 407, 760, 148 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 278, 407, 760, 148. So, keep reading to learn more.
Given numbers are 278,407,760,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,407,760,148 is 42995480.
Find LCM of 278,407,760,148 with Prime Factorization
| 2 | 278, 407, 760, 148 |
| 2 | 139, 407, 380, 74 |
| 37 | 139, 407, 190, 37 |
| 139, 11, 190, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 139 x 11 x 190 x 1 = 42995480
Therefore, the lowest common multiple of 278,407,760,148 is 42995480.
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.
278 x 407 x 760 x 148 = 12726662080
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.
278 : 1, 2, 139, 278
407 : 1, 11, 37, 407
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,407,760,148, is 1.
Now, the common factors can be found like this.
278:2x 139
407:11x 37
760:2x 2x 2x 5x 19
148:2x 2x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 12726662080/(1x296)
LCM = 12726662080/296
LCM = 42995480
Thus, we can understand that the LCM of 278,407,760,148 is 42995480.
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FAQs on LCM of 278, 407, 760, 148
1. What is the LCM of 278, 407, 760, 148?
Answer: LCM of 278, 407, 760, 148 is 42995480.
2. How to calculate the LCM of 278, 407, 760, 148?
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 278, 407, 760, 148.
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}.