LCM of 305, 749, 594, 174, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 749, 594, 174, 693 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 305, 749, 594, 174, 693. So, keep reading to learn more.
Given numbers are 305,749,594,174,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,749,594,174,693 is 3935193570.
Find LCM of 305,749,594,174,693 with Prime Factorization
| 2 | 305, 749, 594, 174, 693 |
| 3 | 305, 749, 297, 87, 693 |
| 3 | 305, 749, 99, 29, 231 |
| 7 | 305, 749, 33, 29, 77 |
| 11 | 305, 107, 33, 29, 11 |
| 305, 107, 3, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 305 x 107 x 3 x 29 x 1 = 3935193570
Therefore, the lowest common multiple of 305,749,594,174,693 is 3935193570.
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.
305 x 749 x 594 x 174 x 693 = 16362534864060
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.
305 : 1, 5, 61, 305
749 : 1, 7, 107, 749
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
174 : 1, 2, 3, 6, 29, 58, 87, 174
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,749,594,174,693, is 1.
Now, the common factors can be found like this.
305:5x 61
749:7x 107
594:2x 3x 3x 3x 11
174:2x 3x 29
693:3x 3x 7x 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 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 16362534864060/(1x4158)
LCM = 16362534864060/4158
LCM = 3935193570
Thus, we can understand that the LCM of 305,749,594,174,693 is 3935193570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 305, 749, 594, 174, 693
1. What is the LCM of 305, 749, 594, 174, 693?
Answer: LCM of 305, 749, 594, 174, 693 is 3935193570.
2. How to calculate the LCM of 305, 749, 594, 174, 693?
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 305, 749, 594, 174, 693.
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}.