LCM of 735, 973, 501, 900, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 973, 501, 900, 834 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 735, 973, 501, 900, 834. So, keep reading to learn more.
Given numbers are 735,973,501,900,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,973,501,900,834 is 1023693300.
Find LCM of 735,973,501,900,834 with Prime Factorization
| 2 | 735, 973, 501, 900, 834 |
| 3 | 735, 973, 501, 450, 417 |
| 5 | 245, 973, 167, 150, 139 |
| 7 | 49, 973, 167, 30, 139 |
| 139 | 7, 139, 167, 30, 139 |
| 7, 1, 167, 30, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 139 x 7 x 1 x 167 x 30 x 1 = 1023693300
Therefore, the lowest common multiple of 735,973,501,900,834 is 1023693300.
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.
735 x 973 x 501 x 900 x 834 = 268934466843000
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
973 : 1, 7, 139, 973
501 : 1, 3, 167, 501
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,973,501,900,834, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
973:7x 139
501:3x 167
900:2x 2x 3x 3x 5x 5
834:2x 3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 139 = 262710
Therefore, the value for common factors is 262710.
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 = 268934466843000/(1x262710)
LCM = 268934466843000/262710
LCM = 1023693300
Thus, we can understand that the LCM of 735,973,501,900,834 is 1023693300.
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FAQs on LCM of 735, 973, 501, 900, 834
1. What is the LCM of 735, 973, 501, 900, 834?
Answer: LCM of 735, 973, 501, 900, 834 is 1023693300.
2. How to calculate the LCM of 735, 973, 501, 900, 834?
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 735, 973, 501, 900, 834.
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}.