LCM of 740, 398, 304, 656, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 398, 304, 656, 912 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 740, 398, 304, 656, 912. So, keep reading to learn more.
Given numbers are 740,398,304,656,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,398,304,656,912 is 1376586480.
Find LCM of 740,398,304,656,912 with Prime Factorization
| 2 | 740, 398, 304, 656, 912 |
| 2 | 370, 199, 152, 328, 456 |
| 2 | 185, 199, 76, 164, 228 |
| 2 | 185, 199, 38, 82, 114 |
| 19 | 185, 199, 19, 41, 57 |
| 185, 199, 1, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 185 x 199 x 1 x 41 x 3 = 1376586480
Therefore, the lowest common multiple of 740,398,304,656,912 is 1376586480.
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.
740 x 398 x 304 x 656 x 912 = 53565733109760
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
398 : 1, 2, 199, 398
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,398,304,656,912, is 2.
Now, the common factors can be found like this.
740:2x 2x 5x 37
398:2x 199
304:2x 2x 2x 2x 19
656:2x 2x 2x 2x 41
912:2x 2x 2x 2x 3x 19
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 2x 2x 2x 2x 19 = 19456
Therefore, the value for common factors is 19456.
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 = 53565733109760/(2x19456)
LCM = 53565733109760/38912
LCM = 1376586480
Thus, we can understand that the LCM of 740,398,304,656,912 is 1376586480.
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FAQs on LCM of 740, 398, 304, 656, 912
1. What is the LCM of 740, 398, 304, 656, 912?
Answer: LCM of 740, 398, 304, 656, 912 is 1376586480.
2. How to calculate the LCM of 740, 398, 304, 656, 912?
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 740, 398, 304, 656, 912.
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}.