LCM of 803, 735, 428, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 735, 428, 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 803, 735, 428, 749. So, keep reading to learn more.
Given numbers are 803,735,428,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,735,428,749 is 252607740.
Find LCM of 803,735,428,749 with Prime Factorization
| 7 | 803, 735, 428, 749 |
| 107 | 803, 105, 428, 107 |
| 803, 105, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 107 x 803 x 105 x 4 x 1 = 252607740
Therefore, the lowest common multiple of 803,735,428,749 is 252607740.
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.
803 x 735 x 428 x 749 = 189203197260
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.
803 : 1, 11, 73, 803
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
428 : 1, 2, 4, 107, 214, 428
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,735,428,749, is 1.
Now, the common factors can be found like this.
803:11x 73
735:3x 5x 7x 7
428:2x 2x 107
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.
7x 107 = 749
Therefore, the value for common factors is 749.
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 = 189203197260/(1x749)
LCM = 189203197260/749
LCM = 252607740
Thus, we can understand that the LCM of 803,735,428,749 is 252607740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 735, 428, 749
1. What is the LCM of 803, 735, 428, 749?
Answer: LCM of 803, 735, 428, 749 is 252607740.
2. How to calculate the LCM of 803, 735, 428, 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 803, 735, 428, 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}.