LCM of 731, 735, 312, 282, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 735, 312, 282, 120 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 731, 735, 312, 282, 120. So, keep reading to learn more.
Given numbers are 731,735,312,282,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,735,312,282,120 is 2626249080.
Find LCM of 731,735,312,282,120 with Prime Factorization
| 2 | 731, 735, 312, 282, 120 |
| 2 | 731, 735, 156, 141, 60 |
| 2 | 731, 735, 78, 141, 30 |
| 3 | 731, 735, 39, 141, 15 |
| 5 | 731, 245, 13, 47, 5 |
| 731, 49, 13, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 731 x 49 x 13 x 47 x 1 = 2626249080
Therefore, the lowest common multiple of 731,735,312,282,120 is 2626249080.
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.
731 x 735 x 312 x 282 x 120 = 5672698012800
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.
731 : 1, 17, 43, 731
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
282 : 1, 2, 3, 6, 47, 94, 141, 282
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,735,312,282,120, is 1.
Now, the common factors can be found like this.
731:17x 43
735:3x 5x 7x 7
312:2x 2x 2x 3x 13
282:2x 3x 47
120:2x 2x 2x 3x 5
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 5672698012800/(1x2160)
LCM = 5672698012800/2160
LCM = 2626249080
Thus, we can understand that the LCM of 731,735,312,282,120 is 2626249080.
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FAQs on LCM of 731, 735, 312, 282, 120
1. What is the LCM of 731, 735, 312, 282, 120?
Answer: LCM of 731, 735, 312, 282, 120 is 2626249080.
2. How to calculate the LCM of 731, 735, 312, 282, 120?
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 731, 735, 312, 282, 120.
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}.