LCM of 995, 572, 772, 680, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 572, 772, 680, 451 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, 572, 772, 680, 451. So, keep reading to learn more.
Given numbers are 995,572,772,680,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,572,772,680,451 is 153122563880.
Find LCM of 995,572,772,680,451 with Prime Factorization
| 2 | 995, 572, 772, 680, 451 |
| 2 | 995, 286, 386, 340, 451 |
| 5 | 995, 143, 193, 170, 451 |
| 11 | 199, 143, 193, 34, 451 |
| 199, 13, 193, 34, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 199 x 13 x 193 x 34 x 41 = 153122563880
Therefore, the lowest common multiple of 995,572,772,680,451 is 153122563880.
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 572 x 772 x 680 x 451 = 134747856214400
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
772 : 1, 2, 4, 193, 386, 772
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,572,772,680,451, is 1.
Now, the common factors can be found like this.
995:5x 199
572:2x 2x 11x 13
772:2x 2x 193
680:2x 2x 2x 5x 17
451:11x 41
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 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 134747856214400/(1x880)
LCM = 134747856214400/880
LCM = 153122563880
Thus, we can understand that the LCM of 995,572,772,680,451 is 153122563880.
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FAQs on LCM of 995, 572, 772, 680, 451
1. What is the LCM of 995, 572, 772, 680, 451?
Answer: LCM of 995, 572, 772, 680, 451 is 153122563880.
2. How to calculate the LCM of 995, 572, 772, 680, 451?
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, 572, 772, 680, 451.
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}.