LCM of 940, 414, 470, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 414, 470, 749 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 940, 414, 470, 749. So, keep reading to learn more.
Given numbers are 940,414,470,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,414,470,749 is 145740420.
Find LCM of 940,414,470,749 with Prime Factorization
| 2 | 940, 414, 470, 749 |
| 5 | 470, 207, 235, 749 |
| 47 | 94, 207, 47, 749 |
| 2, 207, 1, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 2 x 207 x 1 x 749 = 145740420
Therefore, the lowest common multiple of 940,414,470,749 is 145740420.
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.
940 x 414 x 470 x 749 = 136995994800
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
470 : 1, 2, 5, 10, 47, 94, 235, 470
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,414,470,749, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
414:2x 3x 3x 23
470:2x 5x 47
749:7x 107
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 136995994800/(1x940)
LCM = 136995994800/940
LCM = 145740420
Thus, we can understand that the LCM of 940,414,470,749 is 145740420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 940, 414, 470, 749
1. What is the LCM of 940, 414, 470, 749?
Answer: LCM of 940, 414, 470, 749 is 145740420.
2. How to calculate the LCM of 940, 414, 470, 749?
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 940, 414, 470, 749.
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}.