LCM of 900, 870, 265, 744, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 870, 265, 744, 680 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 900, 870, 265, 744, 680. So, keep reading to learn more.
Given numbers are 900,870,265,744,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,870,265,744,680 is 1457998200.
Find LCM of 900,870,265,744,680 with Prime Factorization
| 2 | 900, 870, 265, 744, 680 |
| 2 | 450, 435, 265, 372, 340 |
| 2 | 225, 435, 265, 186, 170 |
| 3 | 225, 435, 265, 93, 85 |
| 5 | 75, 145, 265, 31, 85 |
| 15, 29, 53, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 15 x 29 x 53 x 31 x 17 = 1457998200
Therefore, the lowest common multiple of 900,870,265,744,680 is 1457998200.
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.
900 x 870 x 265 x 744 x 680 = 104975870400000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
265 : 1, 5, 53, 265
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,870,265,744,680, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
870:2x 3x 5x 29
265:5x 53
744:2x 2x 2x 3x 31
680:2x 2x 2x 5x 17
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 3x 3x 5x 5x 5 = 72000
Therefore, the value for common factors is 72000.
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 = 104975870400000/(1x72000)
LCM = 104975870400000/72000
LCM = 1457998200
Thus, we can understand that the LCM of 900,870,265,744,680 is 1457998200.
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FAQs on LCM of 900, 870, 265, 744, 680
1. What is the LCM of 900, 870, 265, 744, 680?
Answer: LCM of 900, 870, 265, 744, 680 is 1457998200.
2. How to calculate the LCM of 900, 870, 265, 744, 680?
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 900, 870, 265, 744, 680.
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}.