LCM of 753, 277, 820, 706, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 277, 820, 706, 752 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 753, 277, 820, 706, 752. So, keep reading to learn more.
Given numbers are 753,277,820,706,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,277,820,706,752 is 11350660976880.
Find LCM of 753,277,820,706,752 with Prime Factorization
| 2 | 753, 277, 820, 706, 752 |
| 2 | 753, 277, 410, 353, 376 |
| 753, 277, 205, 353, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 753 x 277 x 205 x 353 x 188 = 11350660976880
Therefore, the lowest common multiple of 753,277,820,706,752 is 11350660976880.
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.
753 x 277 x 820 x 706 x 752 = 90805287815040
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.
753 : 1, 3, 251, 753
277 : 1, 277
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
706 : 1, 2, 353, 706
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,277,820,706,752, is 1.
Now, the common factors can be found like this.
753:3x 251
277:277
820:2x 2x 5x 41
706:2x 353
752:2x 2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 90805287815040/(1x8)
LCM = 90805287815040/8
LCM = 11350660976880
Thus, we can understand that the LCM of 753,277,820,706,752 is 11350660976880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 753, 277, 820, 706, 752
1. What is the LCM of 753, 277, 820, 706, 752?
Answer: LCM of 753, 277, 820, 706, 752 is 11350660976880.
2. How to calculate the LCM of 753, 277, 820, 706, 752?
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 753, 277, 820, 706, 752.
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}.