LCM of 748, 406, 238, 356, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 406, 238, 356, 580 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 748, 406, 238, 356, 580. So, keep reading to learn more.
Given numbers are 748,406,238,356,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,406,238,356,580 is 67570580.
Find LCM of 748,406,238,356,580 with Prime Factorization
| 2 | 748, 406, 238, 356, 580 |
| 2 | 374, 203, 119, 178, 290 |
| 7 | 187, 203, 119, 89, 145 |
| 17 | 187, 29, 17, 89, 145 |
| 29 | 11, 29, 1, 89, 145 |
| 11, 1, 1, 89, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 29 x 11 x 1 x 1 x 89 x 5 = 67570580
Therefore, the lowest common multiple of 748,406,238,356,580 is 67570580.
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.
748 x 406 x 238 x 356 x 580 = 14923908581120
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
406 : 1, 2, 7, 14, 29, 58, 203, 406
238 : 1, 2, 7, 14, 17, 34, 119, 238
356 : 1, 2, 4, 89, 178, 356
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,406,238,356,580, is 2.
Now, the common factors can be found like this.
748:2x 2x 11x 17
406:2x 7x 29
238:2x 7x 17
356:2x 2x 89
580:2x 2x 5x 29
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 2x 2x 7x 17x 29 = 110432
Therefore, the value for common factors is 110432.
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 = 14923908581120/(2x110432)
LCM = 14923908581120/220864
LCM = 67570580
Thus, we can understand that the LCM of 748,406,238,356,580 is 67570580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 748, 406, 238, 356, 580
1. What is the LCM of 748, 406, 238, 356, 580?
Answer: LCM of 748, 406, 238, 356, 580 is 67570580.
2. How to calculate the LCM of 748, 406, 238, 356, 580?
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 748, 406, 238, 356, 580.
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}.