LCM of 716, 400, 564, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 400, 564, 765 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 716, 400, 564, 765. So, keep reading to learn more.
Given numbers are 716,400,564,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,400,564,765 is 514875600.
Find LCM of 716,400,564,765 with Prime Factorization
| 2 | 716, 400, 564, 765 |
| 2 | 358, 200, 282, 765 |
| 3 | 179, 100, 141, 765 |
| 5 | 179, 100, 47, 255 |
| 179, 20, 47, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 179 x 20 x 47 x 51 = 514875600
Therefore, the lowest common multiple of 716,400,564,765 is 514875600.
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.
716 x 400 x 564 x 765 = 123570144000
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.
716 : 1, 2, 4, 179, 358, 716
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,400,564,765, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
400:2x 2x 2x 2x 5x 5
564:2x 2x 3x 47
765:3x 3x 5x 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 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 123570144000/(1x240)
LCM = 123570144000/240
LCM = 514875600
Thus, we can understand that the LCM of 716,400,564,765 is 514875600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 400, 564, 765
1. What is the LCM of 716, 400, 564, 765?
Answer: LCM of 716, 400, 564, 765 is 514875600.
2. How to calculate the LCM of 716, 400, 564, 765?
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 716, 400, 564, 765.
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}.