Find the LCM of 433, 703, 475, 334, 670 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 433, 703, 475, 334, 670. So, keep reading to learn more.
Given numbers are 433,703,475,334,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,703,475,334,670 is 170296020550.
Find LCM of 433,703,475,334,670 with Prime Factorization
2 | 433, 703, 475, 334, 670 |
5 | 433, 703, 475, 167, 335 |
19 | 433, 703, 95, 167, 67 |
433, 37, 5, 167, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 433 x 37 x 5 x 167 x 67 = 170296020550
Therefore, the lowest common multiple of 433,703,475,334,670 is 170296020550.
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.
433 x 703 x 475 x 334 x 670 = 32356243904500
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.
433 : 1, 433
703 : 1, 19, 37, 703
475 : 1, 5, 19, 25, 95, 475
334 : 1, 2, 167, 334
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,703,475,334,670, is 1.
Now, the common factors can be found like this.
433:433
703:19x 37
475:5x 5x 19
334:2x 167
670:2x 5x 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 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 32356243904500/(1x190)
LCM = 32356243904500/190
LCM = 170296020550
Thus, we can understand that the LCM of 433,703,475,334,670 is 170296020550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 703, 475, 334, 670?
Answer: LCM of 433, 703, 475, 334, 670 is 170296020550.
2. How to calculate the LCM of 433, 703, 475, 334, 670?
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 433, 703, 475, 334, 670.
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}.