LCM of 736, 564, 654, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 564, 654, 654 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 736, 564, 654, 654. So, keep reading to learn more.
Given numbers are 736,564,654,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,564,654,654 is 11311584.
Find LCM of 736,564,654,654 with Prime Factorization
| 2 | 736, 564, 654, 654 |
| 2 | 368, 282, 327, 327 |
| 3 | 184, 141, 327, 327 |
| 109 | 184, 47, 109, 109 |
| 184, 47, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 184 x 47 x 1 x 1 = 11311584
Therefore, the lowest common multiple of 736,564,654,654 is 11311584.
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.
736 x 564 x 654 x 654 = 177546622464
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
654 : 1, 2, 3, 6, 109, 218, 327, 654
654 : 1, 2, 3, 6, 109, 218, 327, 654
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,564,654,654, is 2.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
564:2x 2x 3x 47
654:2x 3x 109
654:2x 3x 109
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 3x 3x 109 = 7848
Therefore, the value for common factors is 7848.
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 = 177546622464/(2x7848)
LCM = 177546622464/15696
LCM = 11311584
Thus, we can understand that the LCM of 736,564,654,654 is 11311584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 736, 564, 654, 654
1. What is the LCM of 736, 564, 654, 654?
Answer: LCM of 736, 564, 654, 654 is 11311584.
2. How to calculate the LCM of 736, 564, 654, 654?
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 736, 564, 654, 654.
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}.