LCM of 625, 597, 199, 945, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 597, 199, 945, 429 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, 597, 199, 945, 429. So, keep reading to learn more.
Given numbers are 625,597,199,945,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,597,199,945,429 is 3361483125.
Find LCM of 625,597,199,945,429 with Prime Factorization
| 3 | 625, 597, 199, 945, 429 |
| 5 | 625, 199, 199, 315, 143 |
| 199 | 125, 199, 199, 63, 143 |
| 125, 1, 1, 63, 143 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 199 x 125 x 1 x 1 x 63 x 143 = 3361483125
Therefore, the lowest common multiple of 625,597,199,945,429 is 3361483125.
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 597 x 199 x 945 x 429 = 30102081384375
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
597 : 1, 3, 199, 597
199 : 1, 199
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,597,199,945,429, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
597:3x 199
199:199
945:3x 3x 3x 5x 7
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 199 = 8955
Therefore, the value for common factors is 8955.
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 = 30102081384375/(1x8955)
LCM = 30102081384375/8955
LCM = 3361483125
Thus, we can understand that the LCM of 625,597,199,945,429 is 3361483125.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 625, 597, 199, 945, 429
1. What is the LCM of 625, 597, 199, 945, 429?
Answer: LCM of 625, 597, 199, 945, 429 is 3361483125.
2. How to calculate the LCM of 625, 597, 199, 945, 429?
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, 597, 199, 945, 429.
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}.