LCM of 714, 546, 783, 643, 603
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 546, 783, 643, 603 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 714, 546, 783, 643, 603. So, keep reading to learn more.
Given numbers are 714,546,783,643,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,546,783,643,603 is 104368116762.
Find LCM of 714,546,783,643,603 with Prime Factorization
| 2 | 714, 546, 783, 643, 603 |
| 3 | 357, 273, 783, 643, 603 |
| 3 | 119, 91, 261, 643, 201 |
| 7 | 119, 91, 87, 643, 67 |
| 17, 13, 87, 643, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 13 x 87 x 643 x 67 = 104368116762
Therefore, the lowest common multiple of 714,546,783,643,603 is 104368116762.
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.
714 x 546 x 783 x 643 x 603 = 118353444408108
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
783 : 1, 3, 9, 27, 29, 87, 261, 783
643 : 1, 643
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,546,783,643,603, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
546:2x 3x 7x 13
783:3x 3x 3x 29
643:643
603:3x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 118353444408108/(1x1134)
LCM = 118353444408108/1134
LCM = 104368116762
Thus, we can understand that the LCM of 714,546,783,643,603 is 104368116762.
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FAQs on LCM of 714, 546, 783, 643, 603
1. What is the LCM of 714, 546, 783, 643, 603?
Answer: LCM of 714, 546, 783, 643, 603 is 104368116762.
2. How to calculate the LCM of 714, 546, 783, 643, 603?
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 714, 546, 783, 643, 603.
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}.