LCM of 739, 628, 874, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 739, 628, 874, 384 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 739, 628, 874, 384. So, keep reading to learn more.
Given numbers are 739,628,874,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,628,874,384 is 19469587584.
Find LCM of 739,628,874,384 with Prime Factorization
| 2 | 739, 628, 874, 384 |
| 2 | 739, 314, 437, 192 |
| 739, 157, 437, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 739 x 157 x 437 x 96 = 19469587584
Therefore, the lowest common multiple of 739,628,874,384 is 19469587584.
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.
739 x 628 x 874 x 384 = 155756700672
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.
739 : 1, 739
628 : 1, 2, 4, 157, 314, 628
874 : 1, 2, 19, 23, 38, 46, 437, 874
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,628,874,384, is 1.
Now, the common factors can be found like this.
739:739
628:2x 2x 157
874:2x 19x 23
384:2x 2x 2x 2x 2x 2x 2x 3
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 2 = 8
Therefore, the value for common factors is 8.
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 = 155756700672/(1x8)
LCM = 155756700672/8
LCM = 19469587584
Thus, we can understand that the LCM of 739,628,874,384 is 19469587584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 739, 628, 874, 384
1. What is the LCM of 739, 628, 874, 384?
Answer: LCM of 739, 628, 874, 384 is 19469587584.
2. How to calculate the LCM of 739, 628, 874, 384?
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 739, 628, 874, 384.
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}.