LCM of 654, 651, 739, 848, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 651, 739, 848, 739 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 654, 651, 739, 848, 739. So, keep reading to learn more.
Given numbers are 654,651,739,848,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,651,739,848,739 is 44468018448.
Find LCM of 654,651,739,848,739 with Prime Factorization
| 2 | 654, 651, 739, 848, 739 |
| 3 | 327, 651, 739, 424, 739 |
| 739 | 109, 217, 739, 424, 739 |
| 109, 217, 1, 424, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 739 x 109 x 217 x 1 x 424 x 1 = 44468018448
Therefore, the lowest common multiple of 654,651,739,848,739 is 44468018448.
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.
654 x 651 x 739 x 848 x 739 = 197171193798432
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
651 : 1, 3, 7, 21, 31, 93, 217, 651
739 : 1, 739
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,651,739,848,739, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
651:3x 7x 31
739:739
848:2x 2x 2x 2x 53
739:739
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 739 = 4434
Therefore, the value for common factors is 4434.
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 = 197171193798432/(1x4434)
LCM = 197171193798432/4434
LCM = 44468018448
Thus, we can understand that the LCM of 654,651,739,848,739 is 44468018448.
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FAQs on LCM of 654, 651, 739, 848, 739
1. What is the LCM of 654, 651, 739, 848, 739?
Answer: LCM of 654, 651, 739, 848, 739 is 44468018448.
2. How to calculate the LCM of 654, 651, 739, 848, 739?
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 654, 651, 739, 848, 739.
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}.