LCM of 742, 407, 100, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 407, 100, 748 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, 407, 100, 748. So, keep reading to learn more.
Given numbers are 742,407,100,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,407,100,748 is 256694900.
Find LCM of 742,407,100,748 with Prime Factorization
| 2 | 742, 407, 100, 748 |
| 2 | 371, 407, 50, 374 |
| 11 | 371, 407, 25, 187 |
| 371, 37, 25, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 371 x 37 x 25 x 17 = 256694900
Therefore, the lowest common multiple of 742,407,100,748 is 256694900.
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 407 x 100 x 748 = 22589151200
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
407 : 1, 11, 37, 407
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,407,100,748, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
407:11x 37
100:2x 2x 5x 5
748:2x 2x 11x 17
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 11 = 88
Therefore, the value for common factors is 88.
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 = 22589151200/(1x88)
LCM = 22589151200/88
LCM = 256694900
Thus, we can understand that the LCM of 742,407,100,748 is 256694900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 742, 407, 100, 748
1. What is the LCM of 742, 407, 100, 748?
Answer: LCM of 742, 407, 100, 748 is 256694900.
2. How to calculate the LCM of 742, 407, 100, 748?
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, 407, 100, 748.
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}.