LCM of 652, 920, 874, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 920, 874, 665 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 652, 920, 874, 665. So, keep reading to learn more.
Given numbers are 652,920,874,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,920,874,665 is 19944680.
Find LCM of 652,920,874,665 with Prime Factorization
| 2 | 652, 920, 874, 665 |
| 2 | 326, 460, 437, 665 |
| 5 | 163, 230, 437, 665 |
| 19 | 163, 46, 437, 133 |
| 23 | 163, 46, 23, 7 |
| 163, 2, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 23 x 163 x 2 x 1 x 7 = 19944680
Therefore, the lowest common multiple of 652,920,874,665 is 19944680.
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.
652 x 920 x 874 x 665 = 348633006400
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.
652 : 1, 2, 4, 163, 326, 652
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
874 : 1, 2, 19, 23, 38, 46, 437, 874
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,920,874,665, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
920:2x 2x 2x 5x 23
874:2x 19x 23
665:5x 7x 19
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 5x 19x 23 = 17480
Therefore, the value for common factors is 17480.
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 = 348633006400/(1x17480)
LCM = 348633006400/17480
LCM = 19944680
Thus, we can understand that the LCM of 652,920,874,665 is 19944680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 920, 874, 665
1. What is the LCM of 652, 920, 874, 665?
Answer: LCM of 652, 920, 874, 665 is 19944680.
2. How to calculate the LCM of 652, 920, 874, 665?
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 652, 920, 874, 665.
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}.