LCM of 865, 572, 308, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 572, 308, 652 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 865, 572, 308, 652. So, keep reading to learn more.
Given numbers are 865,572,308,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,572,308,652 is 564543980.
Find LCM of 865,572,308,652 with Prime Factorization
| 2 | 865, 572, 308, 652 |
| 2 | 865, 286, 154, 326 |
| 11 | 865, 143, 77, 163 |
| 865, 13, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 865 x 13 x 7 x 163 = 564543980
Therefore, the lowest common multiple of 865,572,308,652 is 564543980.
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.
865 x 572 x 308 x 652 = 99359740480
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.
865 : 1, 5, 173, 865
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,572,308,652, is 1.
Now, the common factors can be found like this.
865:5x 173
572:2x 2x 11x 13
308:2x 2x 7x 11
652:2x 2x 163
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 11 = 176
Therefore, the value for common factors is 176.
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 = 99359740480/(1x176)
LCM = 99359740480/176
LCM = 564543980
Thus, we can understand that the LCM of 865,572,308,652 is 564543980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 865, 572, 308, 652
1. What is the LCM of 865, 572, 308, 652?
Answer: LCM of 865, 572, 308, 652 is 564543980.
2. How to calculate the LCM of 865, 572, 308, 652?
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 865, 572, 308, 652.
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}.