LCM of 714, 751, 406, 174, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 751, 406, 174, 945 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 714, 751, 406, 174, 945. So, keep reading to learn more.
Given numbers are 714,751,406,174,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,751,406,174,945 is 699759270.
Find LCM of 714,751,406,174,945 with Prime Factorization
| 2 | 714, 751, 406, 174, 945 |
| 3 | 357, 751, 203, 87, 945 |
| 7 | 119, 751, 203, 29, 315 |
| 29 | 17, 751, 29, 29, 45 |
| 17, 751, 1, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 17 x 751 x 1 x 1 x 45 = 699759270
Therefore, the lowest common multiple of 714,751,406,174,945 is 699759270.
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.
714 x 751 x 406 x 174 x 945 = 35796885216120
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
751 : 1, 751
406 : 1, 2, 7, 14, 29, 58, 203, 406
174 : 1, 2, 3, 6, 29, 58, 87, 174
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,751,406,174,945, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
751:751
406:2x 7x 29
174:2x 3x 29
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 7x 7x 29 = 51156
Therefore, the value for common factors is 51156.
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 = 35796885216120/(1x51156)
LCM = 35796885216120/51156
LCM = 699759270
Thus, we can understand that the LCM of 714,751,406,174,945 is 699759270.
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FAQs on LCM of 714, 751, 406, 174, 945
1. What is the LCM of 714, 751, 406, 174, 945?
Answer: LCM of 714, 751, 406, 174, 945 is 699759270.
2. How to calculate the LCM of 714, 751, 406, 174, 945?
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 714, 751, 406, 174, 945.
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}.