LCM of 741, 550, 945, 967, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 550, 945, 967, 735 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 741, 550, 945, 967, 735. So, keep reading to learn more.
Given numbers are 741,550,945,967,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,550,945,967,735 is 173798474850.
Find LCM of 741,550,945,967,735 with Prime Factorization
| 3 | 741, 550, 945, 967, 735 |
| 5 | 247, 550, 315, 967, 245 |
| 7 | 247, 110, 63, 967, 49 |
| 247, 110, 9, 967, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 247 x 110 x 9 x 967 x 7 = 173798474850
Therefore, the lowest common multiple of 741,550,945,967,735 is 173798474850.
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.
741 x 550 x 945 x 967 x 735 = 273732597888750
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
967 : 1, 967
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,550,945,967,735, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
550:2x 5x 5x 11
945:3x 3x 3x 5x 7
967:967
735:3x 5x 7x 7
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 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 273732597888750/(1x1575)
LCM = 273732597888750/1575
LCM = 173798474850
Thus, we can understand that the LCM of 741,550,945,967,735 is 173798474850.
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FAQs on LCM of 741, 550, 945, 967, 735
1. What is the LCM of 741, 550, 945, 967, 735?
Answer: LCM of 741, 550, 945, 967, 735 is 173798474850.
2. How to calculate the LCM of 741, 550, 945, 967, 735?
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 741, 550, 945, 967, 735.
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}.