LCM of 701, 425, 435, 350, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 425, 435, 350, 328 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 701, 425, 435, 350, 328. So, keep reading to learn more.
Given numbers are 701,425,435,350,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,425,435,350,328 is 59511114600.
Find LCM of 701,425,435,350,328 with Prime Factorization
| 2 | 701, 425, 435, 350, 328 |
| 5 | 701, 425, 435, 175, 164 |
| 5 | 701, 85, 87, 35, 164 |
| 701, 17, 87, 7, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 701 x 17 x 87 x 7 x 164 = 59511114600
Therefore, the lowest common multiple of 701,425,435,350,328 is 59511114600.
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.
701 x 425 x 435 x 350 x 328 = 14877778650000
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.
701 : 1, 701
425 : 1, 5, 17, 25, 85, 425
435 : 1, 3, 5, 15, 29, 87, 145, 435
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,425,435,350,328, is 1.
Now, the common factors can be found like this.
701:701
425:5x 5x 17
435:3x 5x 29
350:2x 5x 5x 7
328:2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 14877778650000/(1x250)
LCM = 14877778650000/250
LCM = 59511114600
Thus, we can understand that the LCM of 701,425,435,350,328 is 59511114600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 701, 425, 435, 350, 328
1. What is the LCM of 701, 425, 435, 350, 328?
Answer: LCM of 701, 425, 435, 350, 328 is 59511114600.
2. How to calculate the LCM of 701, 425, 435, 350, 328?
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 701, 425, 435, 350, 328.
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}.