LCM of 890, 588, 560, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 588, 560, 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 890, 588, 560, 752. So, keep reading to learn more.
Given numbers are 890,588,560,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,588,560,752 is 49192080.
Find LCM of 890,588,560,752 with Prime Factorization
| 2 | 890, 588, 560, 752 |
| 2 | 445, 294, 280, 376 |
| 2 | 445, 147, 140, 188 |
| 2 | 445, 147, 70, 94 |
| 5 | 445, 147, 35, 47 |
| 7 | 89, 147, 7, 47 |
| 89, 21, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 89 x 21 x 1 x 47 = 49192080
Therefore, the lowest common multiple of 890,588,560,752 is 49192080.
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.
890 x 588 x 560 x 752 = 220380518400
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,588,560,752, is 2.
Now, the common factors can be found like this.
890:2x 5x 89
588:2x 2x 3x 7x 7
560:2x 2x 2x 2x 5x 7
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 2x 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 220380518400/(2x2240)
LCM = 220380518400/4480
LCM = 49192080
Thus, we can understand that the LCM of 890,588,560,752 is 49192080.
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FAQs on LCM of 890, 588, 560, 752
1. What is the LCM of 890, 588, 560, 752?
Answer: LCM of 890, 588, 560, 752 is 49192080.
2. How to calculate the LCM of 890, 588, 560, 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 890, 588, 560, 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}.