LCM of 280, 805, 973, 515, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 805, 973, 515, 602 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 280, 805, 973, 515, 602. So, keep reading to learn more.
Given numbers are 280,805,973,515,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,805,973,515,602 is 3964663640.
Find LCM of 280,805,973,515,602 with Prime Factorization
| 2 | 280, 805, 973, 515, 602 |
| 5 | 140, 805, 973, 515, 301 |
| 7 | 28, 161, 973, 103, 301 |
| 4, 23, 139, 103, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 4 x 23 x 139 x 103 x 43 = 3964663640
Therefore, the lowest common multiple of 280,805,973,515,602 is 3964663640.
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.
280 x 805 x 973 x 515 x 602 = 67993981426000
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
805 : 1, 5, 7, 23, 35, 115, 161, 805
973 : 1, 7, 139, 973
515 : 1, 5, 103, 515
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,805,973,515,602, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
805:5x 7x 23
973:7x 139
515:5x 103
602:2x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 7x 7 = 17150
Therefore, the value for common factors is 17150.
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 = 67993981426000/(1x17150)
LCM = 67993981426000/17150
LCM = 3964663640
Thus, we can understand that the LCM of 280,805,973,515,602 is 3964663640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 280, 805, 973, 515, 602
1. What is the LCM of 280, 805, 973, 515, 602?
Answer: LCM of 280, 805, 973, 515, 602 is 3964663640.
2. How to calculate the LCM of 280, 805, 973, 515, 602?
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 280, 805, 973, 515, 602.
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}.