LCM of 602, 303, 107, 458, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 303, 107, 458, 735 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 602, 303, 107, 458, 735. So, keep reading to learn more.
Given numbers are 602,303,107,458,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,303,107,458,735 is 156432297630.
Find LCM of 602,303,107,458,735 with Prime Factorization
| 2 | 602, 303, 107, 458, 735 |
| 3 | 301, 303, 107, 229, 735 |
| 7 | 301, 101, 107, 229, 245 |
| 43, 101, 107, 229, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 43 x 101 x 107 x 229 x 35 = 156432297630
Therefore, the lowest common multiple of 602,303,107,458,735 is 156432297630.
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.
602 x 303 x 107 x 458 x 735 = 6570156500460
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
303 : 1, 3, 101, 303
107 : 1, 107
458 : 1, 2, 229, 458
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,303,107,458,735, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
303:3x 101
107:107
458:2x 229
735:3x 5x 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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 6570156500460/(1x42)
LCM = 6570156500460/42
LCM = 156432297630
Thus, we can understand that the LCM of 602,303,107,458,735 is 156432297630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 602, 303, 107, 458, 735
1. What is the LCM of 602, 303, 107, 458, 735?
Answer: LCM of 602, 303, 107, 458, 735 is 156432297630.
2. How to calculate the LCM of 602, 303, 107, 458, 735?
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 602, 303, 107, 458, 735.
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}.