LCM of 995, 363, 594, 865, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 363, 594, 865, 627 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, 363, 594, 865, 627. So, keep reading to learn more.
Given numbers are 995,363,594,865,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,363,594,865,627 is 21369871710.
Find LCM of 995,363,594,865,627 with Prime Factorization
| 3 | 995, 363, 594, 865, 627 |
| 5 | 995, 121, 198, 865, 209 |
| 11 | 199, 121, 198, 173, 209 |
| 199, 11, 18, 173, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 199 x 11 x 18 x 173 x 19 = 21369871710
Therefore, the lowest common multiple of 995,363,594,865,627 is 21369871710.
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 363 x 594 x 865 x 627 = 116358951460950
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
363 : 1, 3, 11, 33, 121, 363
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
865 : 1, 5, 173, 865
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,363,594,865,627, is 1.
Now, the common factors can be found like this.
995:5x 199
363:3x 11x 11
594:2x 3x 3x 3x 11
865:5x 173
627:3x 11x 19
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 5x 11x 11 = 5445
Therefore, the value for common factors is 5445.
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 = 116358951460950/(1x5445)
LCM = 116358951460950/5445
LCM = 21369871710
Thus, we can understand that the LCM of 995,363,594,865,627 is 21369871710.
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FAQs on LCM of 995, 363, 594, 865, 627
1. What is the LCM of 995, 363, 594, 865, 627?
Answer: LCM of 995, 363, 594, 865, 627 is 21369871710.
2. How to calculate the LCM of 995, 363, 594, 865, 627?
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, 363, 594, 865, 627.
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}.