Find the LCM of 276, 690, 643, 963, 545 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 276, 690, 643, 963, 545. So, keep reading to learn more.
Given numbers are 276,690,643,963,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,690,643,963,545 is 31047139260.
Find LCM of 276,690,643,963,545 with Prime Factorization
2 | 276, 690, 643, 963, 545 |
3 | 138, 345, 643, 963, 545 |
5 | 46, 115, 643, 321, 545 |
23 | 46, 23, 643, 321, 109 |
2, 1, 643, 321, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 2 x 1 x 643 x 321 x 109 = 31047139260
Therefore, the lowest common multiple of 276,690,643,963,545 is 31047139260.
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.
276 x 690 x 643 x 963 x 545 = 64267578268200
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
643 : 1, 643
963 : 1, 3, 9, 107, 321, 963
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,690,643,963,545, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
690:2x 3x 5x 23
643:643
963:3x 3x 107
545:5x 109
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 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 64267578268200/(1x2070)
LCM = 64267578268200/2070
LCM = 31047139260
Thus, we can understand that the LCM of 276,690,643,963,545 is 31047139260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 276, 690, 643, 963, 545?
Answer: LCM of 276, 690, 643, 963, 545 is 31047139260.
2. How to calculate the LCM of 276, 690, 643, 963, 545?
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 276, 690, 643, 963, 545.
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}.