LCM of 152, 428, 128, 978, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 428, 128, 978, 746 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 152, 428, 128, 978, 746. So, keep reading to learn more.
Given numbers are 152,428,128,978,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,428,128,978,746 is 47464076928.
Find LCM of 152,428,128,978,746 with Prime Factorization
| 2 | 152, 428, 128, 978, 746 |
| 2 | 76, 214, 64, 489, 373 |
| 2 | 38, 107, 32, 489, 373 |
| 19, 107, 16, 489, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 107 x 16 x 489 x 373 = 47464076928
Therefore, the lowest common multiple of 152,428,128,978,746 is 47464076928.
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.
152 x 428 x 128 x 978 x 746 = 6075401846784
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
428 : 1, 2, 4, 107, 214, 428
128 : 1, 2, 4, 8, 16, 32, 64, 128
978 : 1, 2, 3, 6, 163, 326, 489, 978
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,428,128,978,746, is 2.
Now, the common factors can be found like this.
152:2x 2x 2x 19
428:2x 2x 107
128:2x 2x 2x 2x 2x 2x 2
978:2x 3x 163
746:2x 373
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 2 = 64
Therefore, the value for common factors is 64.
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 = 6075401846784/(2x64)
LCM = 6075401846784/128
LCM = 47464076928
Thus, we can understand that the LCM of 152,428,128,978,746 is 47464076928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 152, 428, 128, 978, 746
1. What is the LCM of 152, 428, 128, 978, 746?
Answer: LCM of 152, 428, 128, 978, 746 is 47464076928.
2. How to calculate the LCM of 152, 428, 128, 978, 746?
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 152, 428, 128, 978, 746.
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}.