LCM of 744, 735, 565, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 735, 565, 312 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, 735, 565, 312. So, keep reading to learn more.
Given numbers are 744,735,565,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,735,565,312 is 267769320.
Find LCM of 744,735,565,312 with Prime Factorization
| 2 | 744, 735, 565, 312 |
| 2 | 372, 735, 565, 156 |
| 2 | 186, 735, 565, 78 |
| 3 | 93, 735, 565, 39 |
| 5 | 31, 245, 565, 13 |
| 31, 49, 113, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 49 x 113 x 13 = 267769320
Therefore, the lowest common multiple of 744,735,565,312 is 267769320.
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 735 x 565 x 312 = 96396955200
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
565 : 1, 5, 113, 565
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,735,565,312, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
735:3x 5x 7x 7
565:5x 113
312:2x 2x 2x 3x 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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 96396955200/(1x360)
LCM = 96396955200/360
LCM = 267769320
Thus, we can understand that the LCM of 744,735,565,312 is 267769320.
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FAQs on LCM of 744, 735, 565, 312
1. What is the LCM of 744, 735, 565, 312?
Answer: LCM of 744, 735, 565, 312 is 267769320.
2. How to calculate the LCM of 744, 735, 565, 312?
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, 735, 565, 312.
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}.