LCM of 764, 724, 412, 103, 347
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 724, 412, 103, 347 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 764, 724, 412, 103, 347. So, keep reading to learn more.
Given numbers are 764,724,412,103,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,724,412,103,347 is 4942408444.
Find LCM of 764,724,412,103,347 with Prime Factorization
| 2 | 764, 724, 412, 103, 347 |
| 2 | 382, 362, 206, 103, 347 |
| 103 | 191, 181, 103, 103, 347 |
| 191, 181, 1, 1, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 191 x 181 x 1 x 1 x 347 = 4942408444
Therefore, the lowest common multiple of 764,724,412,103,347 is 4942408444.
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.
764 x 724 x 412 x 103 x 347 = 8145089115712
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.
764 : 1, 2, 4, 191, 382, 764
724 : 1, 2, 4, 181, 362, 724
412 : 1, 2, 4, 103, 206, 412
103 : 1, 103
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,724,412,103,347, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
724:2x 2x 181
412:2x 2x 103
103:103
347:347
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 103 = 1648
Therefore, the value for common factors is 1648.
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 = 8145089115712/(1x1648)
LCM = 8145089115712/1648
LCM = 4942408444
Thus, we can understand that the LCM of 764,724,412,103,347 is 4942408444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 724, 412, 103, 347
1. What is the LCM of 764, 724, 412, 103, 347?
Answer: LCM of 764, 724, 412, 103, 347 is 4942408444.
2. How to calculate the LCM of 764, 724, 412, 103, 347?
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 764, 724, 412, 103, 347.
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}.