LCM of 780, 867, 748, 501, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 867, 748, 501, 306 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 780, 867, 748, 501, 306. So, keep reading to learn more.
Given numbers are 780,867,748,501,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,867,748,501,306 is 1242289620.
Find LCM of 780,867,748,501,306 with Prime Factorization
| 2 | 780, 867, 748, 501, 306 |
| 2 | 390, 867, 374, 501, 153 |
| 3 | 195, 867, 187, 501, 153 |
| 17 | 65, 289, 187, 167, 51 |
| 65, 17, 11, 167, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 65 x 17 x 11 x 167 x 3 = 1242289620
Therefore, the lowest common multiple of 780,867,748,501,306 is 1242289620.
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.
780 x 867 x 748 x 501 x 306 = 77548687238880
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
867 : 1, 3, 17, 51, 289, 867
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
501 : 1, 3, 167, 501
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,867,748,501,306, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
867:3x 17x 17
748:2x 2x 11x 17
501:3x 167
306:2x 3x 3x 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 3x 3x 3x 17x 17 = 62424
Therefore, the value for common factors is 62424.
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 = 77548687238880/(1x62424)
LCM = 77548687238880/62424
LCM = 1242289620
Thus, we can understand that the LCM of 780,867,748,501,306 is 1242289620.
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FAQs on LCM of 780, 867, 748, 501, 306
1. What is the LCM of 780, 867, 748, 501, 306?
Answer: LCM of 780, 867, 748, 501, 306 is 1242289620.
2. How to calculate the LCM of 780, 867, 748, 501, 306?
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 780, 867, 748, 501, 306.
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}.