LCM of 778, 724, 360, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 724, 360, 905 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 778, 724, 360, 905. So, keep reading to learn more.
Given numbers are 778,724,360,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,724,360,905 is 25347240.
Find LCM of 778,724,360,905 with Prime Factorization
| 2 | 778, 724, 360, 905 |
| 2 | 389, 362, 180, 905 |
| 5 | 389, 181, 90, 905 |
| 181 | 389, 181, 18, 181 |
| 389, 1, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 181 x 389 x 1 x 18 x 1 = 25347240
Therefore, the lowest common multiple of 778,724,360,905 is 25347240.
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.
778 x 724 x 360 x 905 = 183514017600
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.
778 : 1, 2, 389, 778
724 : 1, 2, 4, 181, 362, 724
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,724,360,905, is 1.
Now, the common factors can be found like this.
778:2x 389
724:2x 2x 181
360:2x 2x 2x 3x 3x 5
905:5x 181
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 5x 181 = 7240
Therefore, the value for common factors is 7240.
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 = 183514017600/(1x7240)
LCM = 183514017600/7240
LCM = 25347240
Thus, we can understand that the LCM of 778,724,360,905 is 25347240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 724, 360, 905
1. What is the LCM of 778, 724, 360, 905?
Answer: LCM of 778, 724, 360, 905 is 25347240.
2. How to calculate the LCM of 778, 724, 360, 905?
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 778, 724, 360, 905.
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}.