LCM of 389, 260, 616, 506, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 260, 616, 506, 670 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 389, 260, 616, 506, 670. So, keep reading to learn more.
Given numbers are 389,260,616,506,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,260,616,506,670 is 24001937960.
Find LCM of 389,260,616,506,670 with Prime Factorization
| 2 | 389, 260, 616, 506, 670 |
| 2 | 389, 130, 308, 253, 335 |
| 5 | 389, 65, 154, 253, 335 |
| 11 | 389, 13, 154, 253, 67 |
| 389, 13, 14, 23, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 389 x 13 x 14 x 23 x 67 = 24001937960
Therefore, the lowest common multiple of 389,260,616,506,670 is 24001937960.
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.
389 x 260 x 616 x 506 x 670 = 21121705404800
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.
389 : 1, 389
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
506 : 1, 2, 11, 22, 23, 46, 253, 506
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,260,616,506,670, is 1.
Now, the common factors can be found like this.
389:389
260:2x 2x 5x 13
616:2x 2x 2x 7x 11
506:2x 11x 23
670:2x 5x 67
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 21121705404800/(1x880)
LCM = 21121705404800/880
LCM = 24001937960
Thus, we can understand that the LCM of 389,260,616,506,670 is 24001937960.
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FAQs on LCM of 389, 260, 616, 506, 670
1. What is the LCM of 389, 260, 616, 506, 670?
Answer: LCM of 389, 260, 616, 506, 670 is 24001937960.
2. How to calculate the LCM of 389, 260, 616, 506, 670?
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 389, 260, 616, 506, 670.
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}.