LCM of 747, 664, 703, 518, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 664, 703, 518, 254 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 747, 664, 703, 518, 254. So, keep reading to learn more.
Given numbers are 747,664,703,518,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,664,703,518,254 is 3734802792.
Find LCM of 747,664,703,518,254 with Prime Factorization
| 2 | 747, 664, 703, 518, 254 |
| 37 | 747, 332, 703, 259, 127 |
| 83 | 747, 332, 19, 7, 127 |
| 9, 4, 19, 7, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 83 x 9 x 4 x 19 x 7 x 127 = 3734802792
Therefore, the lowest common multiple of 747,664,703,518,254 is 3734802792.
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.
747 x 664 x 703 x 518 x 254 = 45878317496928
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.
747 : 1, 3, 9, 83, 249, 747
664 : 1, 2, 4, 8, 83, 166, 332, 664
703 : 1, 19, 37, 703
518 : 1, 2, 7, 14, 37, 74, 259, 518
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,664,703,518,254, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
664:2x 2x 2x 83
703:19x 37
518:2x 7x 37
254:2x 127
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 37x 83 = 12284
Therefore, the value for common factors is 12284.
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 = 45878317496928/(1x12284)
LCM = 45878317496928/12284
LCM = 3734802792
Thus, we can understand that the LCM of 747,664,703,518,254 is 3734802792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 664, 703, 518, 254
1. What is the LCM of 747, 664, 703, 518, 254?
Answer: LCM of 747, 664, 703, 518, 254 is 3734802792.
2. How to calculate the LCM of 747, 664, 703, 518, 254?
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 747, 664, 703, 518, 254.
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}.