LCM of 744, 732, 705, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 732, 705, 780 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 744, 732, 705, 780. So, keep reading to learn more.
Given numbers are 744,732,705,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,732,705,780 is 138648120.
Find LCM of 744,732,705,780 with Prime Factorization
| 2 | 744, 732, 705, 780 |
| 2 | 372, 366, 705, 390 |
| 3 | 186, 183, 705, 195 |
| 5 | 62, 61, 235, 65 |
| 62, 61, 47, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 62 x 61 x 47 x 13 = 138648120
Therefore, the lowest common multiple of 744,732,705,780 is 138648120.
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.
744 x 732 x 705 x 780 = 299479939200
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
705 : 1, 3, 5, 15, 47, 141, 235, 705
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,732,705,780, is 3.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
732:2x 2x 3x 61
705:3x 5x 47
780:2x 2x 3x 5x 13
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 5 = 720
Therefore, the value for common factors is 720.
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 = 299479939200/(3x720)
LCM = 299479939200/2160
LCM = 138648120
Thus, we can understand that the LCM of 744,732,705,780 is 138648120.
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FAQs on LCM of 744, 732, 705, 780
1. What is the LCM of 744, 732, 705, 780?
Answer: LCM of 744, 732, 705, 780 is 138648120.
2. How to calculate the LCM of 744, 732, 705, 780?
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 744, 732, 705, 780.
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}.