LCM of 742, 668, 501, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 668, 501, 412 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, 668, 501, 412. So, keep reading to learn more.
Given numbers are 742,668,501,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,668,501,412 is 76578852.
Find LCM of 742,668,501,412 with Prime Factorization
| 2 | 742, 668, 501, 412 |
| 2 | 371, 334, 501, 206 |
| 167 | 371, 167, 501, 103 |
| 371, 1, 3, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 167 x 371 x 1 x 3 x 103 = 76578852
Therefore, the lowest common multiple of 742,668,501,412 is 76578852.
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 668 x 501 x 412 = 102309346272
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
668 : 1, 2, 4, 167, 334, 668
501 : 1, 3, 167, 501
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,668,501,412, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
668:2x 2x 167
501:3x 167
412:2x 2x 103
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 167 = 1336
Therefore, the value for common factors is 1336.
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 = 102309346272/(1x1336)
LCM = 102309346272/1336
LCM = 76578852
Thus, we can understand that the LCM of 742,668,501,412 is 76578852.
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FAQs on LCM of 742, 668, 501, 412
1. What is the LCM of 742, 668, 501, 412?
Answer: LCM of 742, 668, 501, 412 is 76578852.
2. How to calculate the LCM of 742, 668, 501, 412?
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, 668, 501, 412.
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}.