LCM of 426, 781, 995, 418, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 781, 995, 418, 851 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 426, 781, 995, 418, 851. So, keep reading to learn more.
Given numbers are 426,781,995,418,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,781,995,418,851 is 75389094330.
Find LCM of 426,781,995,418,851 with Prime Factorization
| 2 | 426, 781, 995, 418, 851 |
| 11 | 213, 781, 995, 209, 851 |
| 71 | 213, 71, 995, 19, 851 |
| 3, 1, 995, 19, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 3 x 1 x 995 x 19 x 851 = 75389094330
Therefore, the lowest common multiple of 426,781,995,418,851 is 75389094330.
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.
426 x 781 x 995 x 418 x 851 = 117757765343460
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
781 : 1, 11, 71, 781
995 : 1, 5, 199, 995
418 : 1, 2, 11, 19, 22, 38, 209, 418
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,781,995,418,851, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
781:11x 71
995:5x 199
418:2x 11x 19
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 71 = 1562
Therefore, the value for common factors is 1562.
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 = 117757765343460/(1x1562)
LCM = 117757765343460/1562
LCM = 75389094330
Thus, we can understand that the LCM of 426,781,995,418,851 is 75389094330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 781, 995, 418, 851
1. What is the LCM of 426, 781, 995, 418, 851?
Answer: LCM of 426, 781, 995, 418, 851 is 75389094330.
2. How to calculate the LCM of 426, 781, 995, 418, 851?
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 426, 781, 995, 418, 851.
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}.