LCM of 428, 739, 549, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 739, 549, 915 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 428, 739, 549, 915. So, keep reading to learn more.
Given numbers are 428,739,549,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,739,549,915 is 868221540.
Find LCM of 428,739,549,915 with Prime Factorization
| 3 | 428, 739, 549, 915 |
| 61 | 428, 739, 183, 305 |
| 428, 739, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 428 x 739 x 3 x 5 = 868221540
Therefore, the lowest common multiple of 428,739,549,915 is 868221540.
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.
428 x 739 x 549 x 915 = 158884541820
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.
428 : 1, 2, 4, 107, 214, 428
739 : 1, 739
549 : 1, 3, 9, 61, 183, 549
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,739,549,915, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
739:739
549:3x 3x 61
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 158884541820/(1x183)
LCM = 158884541820/183
LCM = 868221540
Thus, we can understand that the LCM of 428,739,549,915 is 868221540.
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FAQs on LCM of 428, 739, 549, 915
1. What is the LCM of 428, 739, 549, 915?
Answer: LCM of 428, 739, 549, 915 is 868221540.
2. How to calculate the LCM of 428, 739, 549, 915?
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 428, 739, 549, 915.
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}.