LCM of 738, 137, 688, 574, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 137, 688, 574, 946 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 738, 137, 688, 574, 946. So, keep reading to learn more.
Given numbers are 738,137,688,574,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,137,688,574,946 is 2678095728.
Find LCM of 738,137,688,574,946 with Prime Factorization
| 2 | 738, 137, 688, 574, 946 |
| 41 | 369, 137, 344, 287, 473 |
| 43 | 9, 137, 344, 7, 473 |
| 9, 137, 8, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 43 x 9 x 137 x 8 x 7 x 11 = 2678095728
Therefore, the lowest common multiple of 738,137,688,574,946 is 2678095728.
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.
738 x 137 x 688 x 574 x 946 = 37771862147712
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
137 : 1, 137
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
574 : 1, 2, 7, 14, 41, 82, 287, 574
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,137,688,574,946, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
137:137
688:2x 2x 2x 2x 43
574:2x 7x 41
946:2x 11x 43
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 41x 43 = 14104
Therefore, the value for common factors is 14104.
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 = 37771862147712/(1x14104)
LCM = 37771862147712/14104
LCM = 2678095728
Thus, we can understand that the LCM of 738,137,688,574,946 is 2678095728.
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FAQs on LCM of 738, 137, 688, 574, 946
1. What is the LCM of 738, 137, 688, 574, 946?
Answer: LCM of 738, 137, 688, 574, 946 is 2678095728.
2. How to calculate the LCM of 738, 137, 688, 574, 946?
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 738, 137, 688, 574, 946.
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}.