LCM of 723, 185, 118, 738, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 185, 118, 738, 723 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 723, 185, 118, 738, 723. So, keep reading to learn more.
Given numbers are 723,185,118,738,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,185,118,738,723 is 1941320070.
Find LCM of 723,185,118,738,723 with Prime Factorization
| 2 | 723, 185, 118, 738, 723 |
| 3 | 723, 185, 59, 369, 723 |
| 241 | 241, 185, 59, 123, 241 |
| 1, 185, 59, 123, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 1 x 185 x 59 x 123 x 1 = 1941320070
Therefore, the lowest common multiple of 723,185,118,738,723 is 1941320070.
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.
723 x 185 x 118 x 738 x 723 = 8421446463660
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.
723 : 1, 3, 241, 723
185 : 1, 5, 37, 185
118 : 1, 2, 59, 118
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,185,118,738,723, is 1.
Now, the common factors can be found like this.
723:3x 241
185:5x 37
118:2x 59
738:2x 3x 3x 41
723:3x 241
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 3x 241 = 4338
Therefore, the value for common factors is 4338.
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 = 8421446463660/(1x4338)
LCM = 8421446463660/4338
LCM = 1941320070
Thus, we can understand that the LCM of 723,185,118,738,723 is 1941320070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 185, 118, 738, 723
1. What is the LCM of 723, 185, 118, 738, 723?
Answer: LCM of 723, 185, 118, 738, 723 is 1941320070.
2. How to calculate the LCM of 723, 185, 118, 738, 723?
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 723, 185, 118, 738, 723.
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}.