LCM of 375, 945, 402, 764, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 945, 402, 764, 686 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 375, 945, 402, 764, 686. So, keep reading to learn more.
Given numbers are 375,945,402,764,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,945,402,764,686 is 59256508500.
Find LCM of 375,945,402,764,686 with Prime Factorization
| 2 | 375, 945, 402, 764, 686 |
| 3 | 375, 945, 201, 382, 343 |
| 5 | 125, 315, 67, 382, 343 |
| 7 | 25, 63, 67, 382, 343 |
| 25, 9, 67, 382, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 25 x 9 x 67 x 382 x 49 = 59256508500
Therefore, the lowest common multiple of 375,945,402,764,686 is 59256508500.
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.
375 x 945 x 402 x 764 x 686 = 74663200710000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
402 : 1, 2, 3, 6, 67, 134, 201, 402
764 : 1, 2, 4, 191, 382, 764
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,945,402,764,686, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
945:3x 3x 3x 5x 7
402:2x 3x 67
764:2x 2x 191
686:2x 7x 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.
2x 2x 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 74663200710000/(1x1260)
LCM = 74663200710000/1260
LCM = 59256508500
Thus, we can understand that the LCM of 375,945,402,764,686 is 59256508500.
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FAQs on LCM of 375, 945, 402, 764, 686
1. What is the LCM of 375, 945, 402, 764, 686?
Answer: LCM of 375, 945, 402, 764, 686 is 59256508500.
2. How to calculate the LCM of 375, 945, 402, 764, 686?
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 375, 945, 402, 764, 686.
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}.