LCM of 708, 705, 724, 409, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 705, 724, 409, 804 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 708, 705, 724, 409, 804. So, keep reading to learn more.
Given numbers are 708,705,724,409,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,705,724,409,804 is 825235316340.
Find LCM of 708,705,724,409,804 with Prime Factorization
| 2 | 708, 705, 724, 409, 804 |
| 2 | 354, 705, 362, 409, 402 |
| 3 | 177, 705, 181, 409, 201 |
| 59, 235, 181, 409, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 235 x 181 x 409 x 67 = 825235316340
Therefore, the lowest common multiple of 708,705,724,409,804 is 825235316340.
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.
708 x 705 x 724 x 409 x 804 = 118833885552960
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
705 : 1, 3, 5, 15, 47, 141, 235, 705
724 : 1, 2, 4, 181, 362, 724
409 : 1, 409
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,705,724,409,804, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
705:3x 5x 47
724:2x 2x 181
409:409
804:2x 2x 3x 67
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 118833885552960/(1x144)
LCM = 118833885552960/144
LCM = 825235316340
Thus, we can understand that the LCM of 708,705,724,409,804 is 825235316340.
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FAQs on LCM of 708, 705, 724, 409, 804
1. What is the LCM of 708, 705, 724, 409, 804?
Answer: LCM of 708, 705, 724, 409, 804 is 825235316340.
2. How to calculate the LCM of 708, 705, 724, 409, 804?
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 708, 705, 724, 409, 804.
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}.