LCM of 755, 725, 453, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 725, 453, 140 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 755, 725, 453, 140. So, keep reading to learn more.
Given numbers are 755,725,453,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,725,453,140 is 9195900.
Find LCM of 755,725,453,140 with Prime Factorization
| 5 | 755, 725, 453, 140 |
| 151 | 151, 145, 453, 28 |
| 1, 145, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
5 x 151 x 1 x 145 x 3 x 28 = 9195900
Therefore, the lowest common multiple of 755,725,453,140 is 9195900.
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.
755 x 725 x 453 x 140 = 34714522500
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.
755 : 1, 5, 151, 755
725 : 1, 5, 25, 29, 145, 725
453 : 1, 3, 151, 453
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,725,453,140, is 1.
Now, the common factors can be found like this.
755:5x 151
725:5x 5x 29
453:3x 151
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 151 = 3775
Therefore, the value for common factors is 3775.
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 = 34714522500/(1x3775)
LCM = 34714522500/3775
LCM = 9195900
Thus, we can understand that the LCM of 755,725,453,140 is 9195900.
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FAQs on LCM of 755, 725, 453, 140
1. What is the LCM of 755, 725, 453, 140?
Answer: LCM of 755, 725, 453, 140 is 9195900.
2. How to calculate the LCM of 755, 725, 453, 140?
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 755, 725, 453, 140.
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}.