LCM of 743, 214, 196, 630, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 214, 196, 630, 681 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 743, 214, 196, 630, 681. So, keep reading to learn more.
Given numbers are 743,214,196,630,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,214,196,630,681 is 159172132140.
Find LCM of 743,214,196,630,681 with Prime Factorization
| 2 | 743, 214, 196, 630, 681 |
| 3 | 743, 107, 98, 315, 681 |
| 7 | 743, 107, 98, 105, 227 |
| 743, 107, 14, 15, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 743 x 107 x 14 x 15 x 227 = 159172132140
Therefore, the lowest common multiple of 743,214,196,630,681 is 159172132140.
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.
743 x 214 x 196 x 630 x 681 = 13370459099760
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.
743 : 1, 743
214 : 1, 2, 107, 214
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,214,196,630,681, is 1.
Now, the common factors can be found like this.
743:743
214:2x 107
196:2x 2x 7x 7
630:2x 3x 3x 5x 7
681:3x 227
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 7 = 84
Therefore, the value for common factors is 84.
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 = 13370459099760/(1x84)
LCM = 13370459099760/84
LCM = 159172132140
Thus, we can understand that the LCM of 743,214,196,630,681 is 159172132140.
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FAQs on LCM of 743, 214, 196, 630, 681
1. What is the LCM of 743, 214, 196, 630, 681?
Answer: LCM of 743, 214, 196, 630, 681 is 159172132140.
2. How to calculate the LCM of 743, 214, 196, 630, 681?
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 743, 214, 196, 630, 681.
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}.