LCM of 606, 759, 345, 749, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 759, 345, 749, 887 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 606, 759, 345, 749, 887. So, keep reading to learn more.
Given numbers are 606,759,345,749,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,759,345,749,887 is 509294032170.
Find LCM of 606,759,345,749,887 with Prime Factorization
| 3 | 606, 759, 345, 749, 887 |
| 23 | 202, 253, 115, 749, 887 |
| 202, 11, 5, 749, 887 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 202 x 11 x 5 x 749 x 887 = 509294032170
Therefore, the lowest common multiple of 606,759,345,749,887 is 509294032170.
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.
606 x 759 x 345 x 749 x 887 = 105423864659190
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
759 : 1, 3, 11, 23, 33, 69, 253, 759
345 : 1, 3, 5, 15, 23, 69, 115, 345
749 : 1, 7, 107, 749
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,759,345,749,887, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
759:3x 11x 23
345:3x 5x 23
749:7x 107
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 105423864659190/(1x207)
LCM = 105423864659190/207
LCM = 509294032170
Thus, we can understand that the LCM of 606,759,345,749,887 is 509294032170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 606, 759, 345, 749, 887
1. What is the LCM of 606, 759, 345, 749, 887?
Answer: LCM of 606, 759, 345, 749, 887 is 509294032170.
2. How to calculate the LCM of 606, 759, 345, 749, 887?
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 606, 759, 345, 749, 887.
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}.