LCM of 295, 606, 149, 609, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 606, 149, 609, 565 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 295, 606, 149, 609, 565. So, keep reading to learn more.
Given numbers are 295,606,149,609,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,606,149,609,565 is 611019949470.
Find LCM of 295,606,149,609,565 with Prime Factorization
| 3 | 295, 606, 149, 609, 565 |
| 5 | 295, 202, 149, 203, 565 |
| 59, 202, 149, 203, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 59 x 202 x 149 x 203 x 113 = 611019949470
Therefore, the lowest common multiple of 295,606,149,609,565 is 611019949470.
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.
295 x 606 x 149 x 609 x 565 = 9165299242050
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.
295 : 1, 5, 59, 295
606 : 1, 2, 3, 6, 101, 202, 303, 606
149 : 1, 149
609 : 1, 3, 7, 21, 29, 87, 203, 609
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,606,149,609,565, is 1.
Now, the common factors can be found like this.
295:5x 59
606:2x 3x 101
149:149
609:3x 7x 29
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 9165299242050/(1x15)
LCM = 9165299242050/15
LCM = 611019949470
Thus, we can understand that the LCM of 295,606,149,609,565 is 611019949470.
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FAQs on LCM of 295, 606, 149, 609, 565
1. What is the LCM of 295, 606, 149, 609, 565?
Answer: LCM of 295, 606, 149, 609, 565 is 611019949470.
2. How to calculate the LCM of 295, 606, 149, 609, 565?
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 295, 606, 149, 609, 565.
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}.