LCM of 535, 144, 675, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 144, 675, 714 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 535, 144, 675, 714. So, keep reading to learn more.
Given numbers are 535,144,675,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,144,675,714 is 137516400.
Find LCM of 535,144,675,714 with Prime Factorization
| 2 | 535, 144, 675, 714 |
| 3 | 535, 72, 675, 357 |
| 3 | 535, 24, 225, 119 |
| 5 | 535, 8, 75, 119 |
| 107, 8, 15, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 107 x 8 x 15 x 119 = 137516400
Therefore, the lowest common multiple of 535,144,675,714 is 137516400.
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.
535 x 144 x 675 x 714 = 37129428000
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.
535 : 1, 5, 107, 535
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,144,675,714, is 1.
Now, the common factors can be found like this.
535:5x 107
144:2x 2x 2x 2x 3x 3
675:3x 3x 3x 5x 5
714:2x 3x 7x 17
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 5 = 270
Therefore, the value for common factors is 270.
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 = 37129428000/(1x270)
LCM = 37129428000/270
LCM = 137516400
Thus, we can understand that the LCM of 535,144,675,714 is 137516400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 144, 675, 714
1. What is the LCM of 535, 144, 675, 714?
Answer: LCM of 535, 144, 675, 714 is 137516400.
2. How to calculate the LCM of 535, 144, 675, 714?
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 535, 144, 675, 714.
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}.