LCM of 735, 275, 309, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 275, 309, 143 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 735, 275, 309, 143. So, keep reading to learn more.
Given numbers are 735,275,309,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,275,309,143 is 54129075.
Find LCM of 735,275,309,143 with Prime Factorization
| 3 | 735, 275, 309, 143 |
| 5 | 245, 275, 103, 143 |
| 11 | 49, 55, 103, 143 |
| 49, 5, 103, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 49 x 5 x 103 x 13 = 54129075
Therefore, the lowest common multiple of 735,275,309,143 is 54129075.
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.
735 x 275 x 309 x 143 = 8931297375
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
275 : 1, 5, 11, 25, 55, 275
309 : 1, 3, 103, 309
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,275,309,143, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
275:5x 5x 11
309:3x 103
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 8931297375/(1x165)
LCM = 8931297375/165
LCM = 54129075
Thus, we can understand that the LCM of 735,275,309,143 is 54129075.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 275, 309, 143
1. What is the LCM of 735, 275, 309, 143?
Answer: LCM of 735, 275, 309, 143 is 54129075.
2. How to calculate the LCM of 735, 275, 309, 143?
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 735, 275, 309, 143.
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}.