LCM of 995, 301, 594, 108, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 301, 594, 108, 710 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 995, 301, 594, 108, 710. So, keep reading to learn more.
Given numbers are 995,301,594,108,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,301,594,108,710 is 25261804260.
Find LCM of 995,301,594,108,710 with Prime Factorization
| 2 | 995, 301, 594, 108, 710 |
| 3 | 995, 301, 297, 54, 355 |
| 3 | 995, 301, 99, 18, 355 |
| 3 | 995, 301, 33, 6, 355 |
| 5 | 995, 301, 11, 2, 355 |
| 199, 301, 11, 2, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 199 x 301 x 11 x 2 x 71 = 25261804260
Therefore, the lowest common multiple of 995,301,594,108,710 is 25261804260.
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.
995 x 301 x 594 x 108 x 710 = 13641374300400
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.
995 : 1, 5, 199, 995
301 : 1, 7, 43, 301
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,301,594,108,710, is 1.
Now, the common factors can be found like this.
995:5x 199
301:7x 43
594:2x 3x 3x 3x 11
108:2x 2x 3x 3x 3
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 13641374300400/(1x540)
LCM = 13641374300400/540
LCM = 25261804260
Thus, we can understand that the LCM of 995,301,594,108,710 is 25261804260.
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FAQs on LCM of 995, 301, 594, 108, 710
1. What is the LCM of 995, 301, 594, 108, 710?
Answer: LCM of 995, 301, 594, 108, 710 is 25261804260.
2. How to calculate the LCM of 995, 301, 594, 108, 710?
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 995, 301, 594, 108, 710.
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}.