LCM of 295, 885, 748, 564, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 885, 748, 564, 782 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 295, 885, 748, 564, 782. So, keep reading to learn more.
Given numbers are 295,885,748,564,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,885,748,564,782 is 715600380.
Find LCM of 295,885,748,564,782 with Prime Factorization
| 2 | 295, 885, 748, 564, 782 |
| 2 | 295, 885, 374, 282, 391 |
| 3 | 295, 885, 187, 141, 391 |
| 5 | 295, 295, 187, 47, 391 |
| 17 | 59, 59, 187, 47, 391 |
| 59 | 59, 59, 11, 47, 23 |
| 1, 1, 11, 47, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 59 x 1 x 1 x 11 x 47 x 23 = 715600380
Therefore, the lowest common multiple of 295,885,748,564,782 is 715600380.
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.
295 x 885 x 748 x 564 x 782 = 86129661736800
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.
295 : 1, 5, 59, 295
885 : 1, 3, 5, 15, 59, 177, 295, 885
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,885,748,564,782, is 1.
Now, the common factors can be found like this.
295:5x 59
885:3x 5x 59
748:2x 2x 11x 17
564:2x 2x 3x 47
782:2x 17x 23
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 3x 5x 17x 59 = 120360
Therefore, the value for common factors is 120360.
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 = 86129661736800/(1x120360)
LCM = 86129661736800/120360
LCM = 715600380
Thus, we can understand that the LCM of 295,885,748,564,782 is 715600380.
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FAQs on LCM of 295, 885, 748, 564, 782
1. What is the LCM of 295, 885, 748, 564, 782?
Answer: LCM of 295, 885, 748, 564, 782 is 715600380.
2. How to calculate the LCM of 295, 885, 748, 564, 782?
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 295, 885, 748, 564, 782.
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}.