LCM of 723, 546, 660, 919, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 546, 660, 919, 948 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, 546, 660, 919, 948. So, keep reading to learn more.
Given numbers are 723,546,660,919,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,546,660,919,948 is 1050860270460.
Find LCM of 723,546,660,919,948 with Prime Factorization
| 2 | 723, 546, 660, 919, 948 |
| 2 | 723, 273, 330, 919, 474 |
| 3 | 723, 273, 165, 919, 237 |
| 241, 91, 55, 919, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 91 x 55 x 919 x 79 = 1050860270460
Therefore, the lowest common multiple of 723,546,660,919,948 is 1050860270460.
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 546 x 660 x 919 x 948 = 226985818419360
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
919 : 1, 919
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,546,660,919,948, is 1.
Now, the common factors can be found like this.
723:3x 241
546:2x 3x 7x 13
660:2x 2x 3x 5x 11
919:919
948:2x 2x 3x 79
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 3 = 216
Therefore, the value for common factors is 216.
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 = 226985818419360/(1x216)
LCM = 226985818419360/216
LCM = 1050860270460
Thus, we can understand that the LCM of 723,546,660,919,948 is 1050860270460.
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FAQs on LCM of 723, 546, 660, 919, 948
1. What is the LCM of 723, 546, 660, 919, 948?
Answer: LCM of 723, 546, 660, 919, 948 is 1050860270460.
2. How to calculate the LCM of 723, 546, 660, 919, 948?
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, 546, 660, 919, 948.
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}.