LCM of 625, 373, 756, 918, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 373, 756, 918, 844 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 625, 373, 756, 918, 844. So, keep reading to learn more.
Given numbers are 625,373,756,918,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,373,756,918,844 is 632181847500.
Find LCM of 625,373,756,918,844 with Prime Factorization
| 2 | 625, 373, 756, 918, 844 |
| 2 | 625, 373, 378, 459, 422 |
| 3 | 625, 373, 189, 459, 211 |
| 3 | 625, 373, 63, 153, 211 |
| 3 | 625, 373, 21, 51, 211 |
| 625, 373, 7, 17, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 625 x 373 x 7 x 17 x 211 = 632181847500
Therefore, the lowest common multiple of 625,373,756,918,844 is 632181847500.
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.
625 x 373 x 756 x 918 x 844 = 136551279060000
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.
625 : 1, 5, 25, 125, 625
373 : 1, 373
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,373,756,918,844, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
373:373
756:2x 2x 3x 3x 3x 7
918:2x 3x 3x 3x 17
844:2x 2x 211
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 136551279060000/(1x216)
LCM = 136551279060000/216
LCM = 632181847500
Thus, we can understand that the LCM of 625,373,756,918,844 is 632181847500.
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FAQs on LCM of 625, 373, 756, 918, 844
1. What is the LCM of 625, 373, 756, 918, 844?
Answer: LCM of 625, 373, 756, 918, 844 is 632181847500.
2. How to calculate the LCM of 625, 373, 756, 918, 844?
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 625, 373, 756, 918, 844.
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}.