LCM of 971, 399, 285, 617, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 399, 285, 617, 450 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 971, 399, 285, 617, 450. So, keep reading to learn more.
Given numbers are 971,399,285,617,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,399,285,617,450 is 35856553950.
Find LCM of 971,399,285,617,450 with Prime Factorization
| 3 | 971, 399, 285, 617, 450 |
| 5 | 971, 133, 95, 617, 150 |
| 19 | 971, 133, 19, 617, 30 |
| 971, 7, 1, 617, 30 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 971 x 7 x 1 x 617 x 30 = 35856553950
Therefore, the lowest common multiple of 971,399,285,617,450 is 35856553950.
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.
971 x 399 x 285 x 617 x 450 = 30657353627250
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.
971 : 1, 971
399 : 1, 3, 7, 19, 21, 57, 133, 399
285 : 1, 3, 5, 15, 19, 57, 95, 285
617 : 1, 617
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,399,285,617,450, is 1.
Now, the common factors can be found like this.
971:971
399:3x 7x 19
285:3x 5x 19
617:617
450:2x 3x 3x 5x 5
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 19 = 855
Therefore, the value for common factors is 855.
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 = 30657353627250/(1x855)
LCM = 30657353627250/855
LCM = 35856553950
Thus, we can understand that the LCM of 971,399,285,617,450 is 35856553950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 399, 285, 617, 450
1. What is the LCM of 971, 399, 285, 617, 450?
Answer: LCM of 971, 399, 285, 617, 450 is 35856553950.
2. How to calculate the LCM of 971, 399, 285, 617, 450?
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 971, 399, 285, 617, 450.
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}.