LCM of 749, 153, 559, 553, 425
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 153, 559, 553, 425 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 749, 153, 559, 553, 425. So, keep reading to learn more.
Given numbers are 749,153,559,553,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,153,559,553,425 is 126517952925.
Find LCM of 749,153,559,553,425 with Prime Factorization
| 7 | 749, 153, 559, 553, 425 |
| 17 | 107, 153, 559, 79, 425 |
| 107, 9, 559, 79, 25 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 107 x 9 x 559 x 79 x 25 = 126517952925
Therefore, the lowest common multiple of 749,153,559,553,425 is 126517952925.
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.
749 x 153 x 559 x 553 x 425 = 15055636398075
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.
749 : 1, 7, 107, 749
153 : 1, 3, 9, 17, 51, 153
559 : 1, 13, 43, 559
553 : 1, 7, 79, 553
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,153,559,553,425, is 1.
Now, the common factors can be found like this.
749:7x 107
153:3x 3x 17
559:13x 43
553:7x 79
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 15055636398075/(1x119)
LCM = 15055636398075/119
LCM = 126517952925
Thus, we can understand that the LCM of 749,153,559,553,425 is 126517952925.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 153, 559, 553, 425
1. What is the LCM of 749, 153, 559, 553, 425?
Answer: LCM of 749, 153, 559, 553, 425 is 126517952925.
2. How to calculate the LCM of 749, 153, 559, 553, 425?
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 749, 153, 559, 553, 425.
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}.