Find the LCM of 626, 189, 763, 594 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 626, 189, 763, 594. So, keep reading to learn more.
Given numbers are 626,189,763,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,189,763,594 is 141858486.
Find LCM of 626,189,763,594 with Prime Factorization
2 | 626, 189, 763, 594 |
3 | 313, 189, 763, 297 |
3 | 313, 63, 763, 99 |
3 | 313, 21, 763, 33 |
7 | 313, 7, 763, 11 |
313, 1, 109, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 313 x 1 x 109 x 11 = 141858486
Therefore, the lowest common multiple of 626,189,763,594 is 141858486.
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.
626 x 189 x 763 x 594 = 53622507708
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.
626 : 1, 2, 313, 626
189 : 1, 3, 7, 9, 21, 27, 63, 189
763 : 1, 7, 109, 763
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,189,763,594, is 1.
Now, the common factors can be found like this.
626:2x 313
189:3x 3x 3x 7
763:7x 109
594:2x 3x 3x 3x 11
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 7 = 378
Therefore, the value for common factors is 378.
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 = 53622507708/(1x378)
LCM = 53622507708/378
LCM = 141858486
Thus, we can understand that the LCM of 626,189,763,594 is 141858486.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 626, 189, 763, 594?
Answer: LCM of 626, 189, 763, 594 is 141858486.
2. How to calculate the LCM of 626, 189, 763, 594?
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 626, 189, 763, 594.
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}.