LCM of 741, 452, 780, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 452, 780, 295 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 741, 452, 780, 295. So, keep reading to learn more.
Given numbers are 741,452,780,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,452,780,295 is 98804940.
Find LCM of 741,452,780,295 with Prime Factorization
| 2 | 741, 452, 780, 295 |
| 2 | 741, 226, 390, 295 |
| 3 | 741, 113, 195, 295 |
| 5 | 247, 113, 65, 295 |
| 13 | 247, 113, 13, 59 |
| 19, 113, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 113 x 1 x 59 = 98804940
Therefore, the lowest common multiple of 741,452,780,295 is 98804940.
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.
741 x 452 x 780 x 295 = 77067853200
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
452 : 1, 2, 4, 113, 226, 452
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,452,780,295, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
452:2x 2x 113
780:2x 2x 3x 5x 13
295:5x 59
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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 77067853200/(1x780)
LCM = 77067853200/780
LCM = 98804940
Thus, we can understand that the LCM of 741,452,780,295 is 98804940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 452, 780, 295
1. What is the LCM of 741, 452, 780, 295?
Answer: LCM of 741, 452, 780, 295 is 98804940.
2. How to calculate the LCM of 741, 452, 780, 295?
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 741, 452, 780, 295.
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}.