LCM of 902, 415, 972, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 415, 972, 385 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 902, 415, 972, 385. So, keep reading to learn more.
Given numbers are 902,415,972,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,415,972,385 is 1273470660.
Find LCM of 902,415,972,385 with Prime Factorization
| 2 | 902, 415, 972, 385 |
| 5 | 451, 415, 486, 385 |
| 11 | 451, 83, 486, 77 |
| 41, 83, 486, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 41 x 83 x 486 x 7 = 1273470660
Therefore, the lowest common multiple of 902,415,972,385 is 1273470660.
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.
902 x 415 x 972 x 385 = 140081772600
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
415 : 1, 5, 83, 415
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,415,972,385, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
415:5x 83
972:2x 2x 3x 3x 3x 3x 3
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 140081772600/(1x110)
LCM = 140081772600/110
LCM = 1273470660
Thus, we can understand that the LCM of 902,415,972,385 is 1273470660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 415, 972, 385
1. What is the LCM of 902, 415, 972, 385?
Answer: LCM of 902, 415, 972, 385 is 1273470660.
2. How to calculate the LCM of 902, 415, 972, 385?
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 902, 415, 972, 385.
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}.