LCM of 545, 674, 262, 747, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 674, 262, 747, 309 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 545, 674, 262, 747, 309. So, keep reading to learn more.
Given numbers are 545,674,262,747,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,674,262,747,309 is 3702418616430.
Find LCM of 545,674,262,747,309 with Prime Factorization
| 2 | 545, 674, 262, 747, 309 |
| 3 | 545, 337, 131, 747, 309 |
| 545, 337, 131, 249, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 545 x 337 x 131 x 249 x 103 = 3702418616430
Therefore, the lowest common multiple of 545,674,262,747,309 is 3702418616430.
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.
545 x 674 x 262 x 747 x 309 = 22214511698580
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.
545 : 1, 5, 109, 545
674 : 1, 2, 337, 674
262 : 1, 2, 131, 262
747 : 1, 3, 9, 83, 249, 747
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,674,262,747,309, is 1.
Now, the common factors can be found like this.
545:5x 109
674:2x 337
262:2x 131
747:3x 3x 83
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 22214511698580/(1x6)
LCM = 22214511698580/6
LCM = 3702418616430
Thus, we can understand that the LCM of 545,674,262,747,309 is 3702418616430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 545, 674, 262, 747, 309
1. What is the LCM of 545, 674, 262, 747, 309?
Answer: LCM of 545, 674, 262, 747, 309 is 3702418616430.
2. How to calculate the LCM of 545, 674, 262, 747, 309?
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 545, 674, 262, 747, 309.
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}.