LCM of 872, 902, 594, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 902, 594, 760 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 872, 902, 594, 760. So, keep reading to learn more.
Given numbers are 872,902,594,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,902,594,760 is 1008742680.
Find LCM of 872,902,594,760 with Prime Factorization
| 2 | 872, 902, 594, 760 |
| 2 | 436, 451, 297, 380 |
| 2 | 218, 451, 297, 190 |
| 11 | 109, 451, 297, 95 |
| 109, 41, 27, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 109 x 41 x 27 x 95 = 1008742680
Therefore, the lowest common multiple of 872,902,594,760 is 1008742680.
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.
872 x 902 x 594 x 760 = 355077423360
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
902 : 1, 2, 11, 22, 41, 82, 451, 902
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,902,594,760, is 2.
Now, the common factors can be found like this.
872:2x 2x 2x 109
902:2x 11x 41
594:2x 3x 3x 3x 11
760:2x 2x 2x 5x 19
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 11 = 176
Therefore, the value for common factors is 176.
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 = 355077423360/(2x176)
LCM = 355077423360/352
LCM = 1008742680
Thus, we can understand that the LCM of 872,902,594,760 is 1008742680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 872, 902, 594, 760
1. What is the LCM of 872, 902, 594, 760?
Answer: LCM of 872, 902, 594, 760 is 1008742680.
2. How to calculate the LCM of 872, 902, 594, 760?
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 872, 902, 594, 760.
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}.