LCM of 993, 274, 678, 662, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 274, 678, 662, 709 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 993, 274, 678, 662, 709. So, keep reading to learn more.
Given numbers are 993,274,678,662,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,274,678,662,709 is 21798393594.
Find LCM of 993,274,678,662,709 with Prime Factorization
| 2 | 993, 274, 678, 662, 709 |
| 3 | 993, 137, 339, 331, 709 |
| 331 | 331, 137, 113, 331, 709 |
| 1, 137, 113, 1, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 1 x 137 x 113 x 1 x 709 = 21798393594
Therefore, the lowest common multiple of 993,274,678,662,709 is 21798393594.
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.
993 x 274 x 678 x 662 x 709 = 86583219355368
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.
993 : 1, 3, 331, 993
274 : 1, 2, 137, 274
678 : 1, 2, 3, 6, 113, 226, 339, 678
662 : 1, 2, 331, 662
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,274,678,662,709, is 1.
Now, the common factors can be found like this.
993:3x 331
274:2x 137
678:2x 3x 113
662:2x 331
709:709
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 3x 331 = 3972
Therefore, the value for common factors is 3972.
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 = 86583219355368/(1x3972)
LCM = 86583219355368/3972
LCM = 21798393594
Thus, we can understand that the LCM of 993,274,678,662,709 is 21798393594.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 274, 678, 662, 709
1. What is the LCM of 993, 274, 678, 662, 709?
Answer: LCM of 993, 274, 678, 662, 709 is 21798393594.
2. How to calculate the LCM of 993, 274, 678, 662, 709?
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 993, 274, 678, 662, 709.
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}.