LCM of 428, 749, 533, 475, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 749, 533, 475, 135 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 428, 749, 533, 475, 135. So, keep reading to learn more.
Given numbers are 428,749,533,475,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,749,533,475,135 is 20479832100.
Find LCM of 428,749,533,475,135 with Prime Factorization
| 5 | 428, 749, 533, 475, 135 |
| 107 | 428, 749, 533, 95, 27 |
| 4, 7, 533, 95, 27 |
Multiply the prime numbers at the bottom and the left side.
5 x 107 x 4 x 7 x 533 x 95 x 27 = 20479832100
Therefore, the lowest common multiple of 428,749,533,475,135 is 20479832100.
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.
428 x 749 x 533 x 475 x 135 = 10956710173500
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.
428 : 1, 2, 4, 107, 214, 428
749 : 1, 7, 107, 749
533 : 1, 13, 41, 533
475 : 1, 5, 19, 25, 95, 475
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,749,533,475,135, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
749:7x 107
533:13x 41
475:5x 5x 19
135:3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 107 = 535
Therefore, the value for common factors is 535.
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 = 10956710173500/(1x535)
LCM = 10956710173500/535
LCM = 20479832100
Thus, we can understand that the LCM of 428,749,533,475,135 is 20479832100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 749, 533, 475, 135
1. What is the LCM of 428, 749, 533, 475, 135?
Answer: LCM of 428, 749, 533, 475, 135 is 20479832100.
2. How to calculate the LCM of 428, 749, 533, 475, 135?
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 428, 749, 533, 475, 135.
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}.