LCM of 425, 630, 589, 870, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 425, 630, 589, 870, 980 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 425, 630, 589, 870, 980. So, keep reading to learn more.
Given numbers are 425,630,589,870,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,630,589,870,980 is 12805625700.
Find LCM of 425,630,589,870,980 with Prime Factorization
| 2 | 425, 630, 589, 870, 980 |
| 3 | 425, 315, 589, 435, 490 |
| 5 | 425, 105, 589, 145, 490 |
| 7 | 85, 21, 589, 29, 98 |
| 85, 3, 589, 29, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 85 x 3 x 589 x 29 x 14 = 12805625700
Therefore, the lowest common multiple of 425,630,589,870,980 is 12805625700.
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.
425 x 630 x 589 x 870 x 980 = 134459069850000
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.
425 : 1, 5, 17, 25, 85, 425
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
589 : 1, 19, 31, 589
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,630,589,870,980, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
630:2x 3x 3x 5x 7
589:19x 31
870:2x 3x 5x 29
980:2x 2x 5x 7x 7
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 3x 5x 5x 5x 7 = 10500
Therefore, the value for common factors is 10500.
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 = 134459069850000/(1x10500)
LCM = 134459069850000/10500
LCM = 12805625700
Thus, we can understand that the LCM of 425,630,589,870,980 is 12805625700.
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FAQs on LCM of 425, 630, 589, 870, 980
1. What is the LCM of 425, 630, 589, 870, 980?
Answer: LCM of 425, 630, 589, 870, 980 is 12805625700.
2. How to calculate the LCM of 425, 630, 589, 870, 980?
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 425, 630, 589, 870, 980.
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}.