LCM of 984, 762, 748, 744, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 762, 748, 744, 309 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 984, 762, 748, 744, 309. So, keep reading to learn more.
Given numbers are 984,762,748,744,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,762,748,744,309 is 74617268088.
Find LCM of 984,762,748,744,309 with Prime Factorization
| 2 | 984, 762, 748, 744, 309 |
| 2 | 492, 381, 374, 372, 309 |
| 2 | 246, 381, 187, 186, 309 |
| 3 | 123, 381, 187, 93, 309 |
| 41, 127, 187, 31, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 127 x 187 x 31 x 103 = 74617268088
Therefore, the lowest common multiple of 984,762,748,744,309 is 74617268088.
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.
984 x 762 x 748 x 744 x 309 = 128938639256064
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
762 : 1, 2, 3, 6, 127, 254, 381, 762
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,762,748,744,309, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
762:2x 3x 127
748:2x 2x 11x 17
744:2x 2x 2x 3x 31
309:3x 103
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 3 = 1728
Therefore, the value for common factors is 1728.
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 = 128938639256064/(1x1728)
LCM = 128938639256064/1728
LCM = 74617268088
Thus, we can understand that the LCM of 984,762,748,744,309 is 74617268088.
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FAQs on LCM of 984, 762, 748, 744, 309
1. What is the LCM of 984, 762, 748, 744, 309?
Answer: LCM of 984, 762, 748, 744, 309 is 74617268088.
2. How to calculate the LCM of 984, 762, 748, 744, 309?
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 984, 762, 748, 744, 309.
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}.