LCM of 570, 763, 764, 868, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 763, 764, 868, 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 570, 763, 764, 868, 752. So, keep reading to learn more.
Given numbers are 570,763,764,868,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,763,764,868,752 is 968238393360.
Find LCM of 570,763,764,868,752 with Prime Factorization
| 2 | 570, 763, 764, 868, 752 |
| 2 | 285, 763, 382, 434, 376 |
| 7 | 285, 763, 191, 217, 188 |
| 285, 109, 191, 31, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 285 x 109 x 191 x 31 x 188 = 968238393360
Therefore, the lowest common multiple of 570,763,764,868,752 is 968238393360.
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.
570 x 763 x 764 x 868 x 752 = 216885400112640
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
763 : 1, 7, 109, 763
764 : 1, 2, 4, 191, 382, 764
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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 570,763,764,868,752, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
763:7x 109
764:2x 2x 191
868:2x 2x 7x 31
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 2x 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 216885400112640/(1x224)
LCM = 216885400112640/224
LCM = 968238393360
Thus, we can understand that the LCM of 570,763,764,868,752 is 968238393360.
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FAQs on LCM of 570, 763, 764, 868, 752
1. What is the LCM of 570, 763, 764, 868, 752?
Answer: LCM of 570, 763, 764, 868, 752 is 968238393360.
2. How to calculate the LCM of 570, 763, 764, 868, 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 570, 763, 764, 868, 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}.