LCM of 742, 420, 100, 274, 719
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 420, 100, 274, 719 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 742, 420, 100, 274, 719. So, keep reading to learn more.
Given numbers are 742,420,100,274,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,420,100,274,719 is 10963383900.
Find LCM of 742,420,100,274,719 with Prime Factorization
| 2 | 742, 420, 100, 274, 719 |
| 2 | 371, 210, 50, 137, 719 |
| 5 | 371, 105, 25, 137, 719 |
| 7 | 371, 21, 5, 137, 719 |
| 53, 3, 5, 137, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 53 x 3 x 5 x 137 x 719 = 10963383900
Therefore, the lowest common multiple of 742,420,100,274,719 is 10963383900.
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.
742 x 420 x 100 x 274 x 719 = 6139494984000
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
274 : 1, 2, 137, 274
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,420,100,274,719, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
420:2x 2x 3x 5x 7
100:2x 2x 5x 5
274:2x 137
719:719
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 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 6139494984000/(1x560)
LCM = 6139494984000/560
LCM = 10963383900
Thus, we can understand that the LCM of 742,420,100,274,719 is 10963383900.
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FAQs on LCM of 742, 420, 100, 274, 719
1. What is the LCM of 742, 420, 100, 274, 719?
Answer: LCM of 742, 420, 100, 274, 719 is 10963383900.
2. How to calculate the LCM of 742, 420, 100, 274, 719?
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 742, 420, 100, 274, 719.
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}.